ΔE 19.6, loose: different enough that you should pick on purpose. Forged Red is noticeably darker, more saturated, warmer than Metallic Rose.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Forged Red is noticeably darker, more saturated, warmer than Metallic Rose.
The same difference applies the other way round: Metallic Rose is noticeably lighter, 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.
See Metallic Rose on the colour wheel See Forged Red on the colour wheel
All matches: Metallic Rose equivalents · Forged Red equivalents