I understand your confusion

I will try to explain as clearly as possible, so here goes:
You are correct: Flourish Nitrogen provides nitrogen in both the nitrate form and the plant-preferred ammonium form. Therefore if you have been dosing Flourish Nitrogen, because one-half of the nitrogen in Flourish Nitrogen is from nitrate, you can get a reasonable estimate of nitrogen levels by doubling a nitrate reading.
However, if you have not been dosing Flourish Nitrogen and you are trying to figure out how to do so, you can take a nitrate reading and divide it by 4.4 to obtain the nitrogen level in your tank. That number (4.4) represents the nitrogen portion of nitrate, figured out by the following:
Nitrate = NO3 --> Molecular weight: 1 Nitrogen (14) + 3 Oxygen (3 x 16) = 62
Nitrogen in Nitrate = 62 / 14 = 4.4
To target a specific nitrogen increase, dose according to the following formula: 0.25vn=m, where v= volume of tank in gallons, n=desired nitrogen increase (if using a “nitrate equivalent” value for “n,” then use a factor of 0.05 instead of 0.25 in the formula) and m=volume of product to use in mL. So for example, say you have a 20 gallon tank, you have a 0 nitrogen level, and want to increase it by 2:
(0.25)(20)(2) = m
10mL = m
Or, say you want to raise your nitrate level by 10:
(0.05)(20)(10) = m
10mL = m
This required dose does not match the Plant Dose Chart because the required dose that you can calculate allows you to target a specific nitrogen increase. The Plant Dose Chart is merely a suggestion (i.e., general schedule) to dose all of the Flourish products and maintain levels. Your dosing regimen will depend greatly on a variety of factors, including lighting, initial water quality, how heavily stocked your aquarium is, substrate selection, and types of plants.