Amaranth Red vs Raging Rose

How close are they?

ΔE 17.4, loose: different enough that you should pick on purpose. Raging Rose is a little lighter, cooler than Amaranth Red.

Can I use Raging Rose instead of Amaranth Red?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Raging Rose is a little lighter, cooler than Amaranth Red.

Can I use Amaranth Red instead of Raging Rose?

The same difference applies the other way round: Amaranth Red is a little darker, warmer.

ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.