For a single value, with extremes V0 & V1 and interpolation fraction A:
V = (1 - A) * V0 + A * V1
For multiple values, such as XYZ position, use the same fraction A for all:
X = (1 - A) * X0 + A * X1 Y = (1 - A) * Y0 + A * Y1 Z = (1 - A) * Z0 + A * Z1