My answers are consistent with those answers, if you round to 2 significant figures at the end. However, I believe there should be 3 in this example.
You round the significant figures
at the end of your calculation, and never before!
We're given "1.00" (3 significant figures) and "400" (3 significant figures), and also "74.1" (molar mass from the Data Sheet is 3 significant figures)
Note that although I used "1.0" as part of my calculation for the molar mass (hydrogen atom), that should not limit the significant figures to 2. What you do is you add up everything, and
then consider your total molar mass' significant figures.
How do you know when? Essentially, significant figures are important at the division and multiplication steps. I use the molar mass in division, but I don't use the "1.0" in division. I use that in subtraction and addition.
For example, when we talk about 25 degrees Celcius, that is not 2 significant figures, because when we calculate temperature, we use Kelvin, which is

Kelvin. That would be 3 significant figures, when we apply it to

, for example.
Also, note that textbooks don't necessarily pay great attention to significant figures themselves. They're quite lazy about it, so don't be fazed if your answer is only wrong by significant figures.