New Gold vs Forged Red

How close are they?

ΔE 30.9, loose: different enough that you should pick on purpose. Forged Red is much more saturated, warmer than New Gold.

Can I use Forged Red instead of New Gold?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 31). Forged Red is much more saturated, warmer than New Gold.

Can I use New Gold instead of Forged Red?

The same difference applies the other way round: New Gold is much more muted, cooler.

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.