Final answer:
A makeup artist should select a client's color by considering skin color first, followed by eye color, and lastly hair color. This order helps create a cohesive and flattering look that enhances the client's natural features.
Step-by-step explanation:
When a makeup artist is selecting a color for a client, the order in which they consider the client's features is important to enhance the client's natural attributes and create a harmonious look. The most professional approach to selecting a color palette is starting with the client's skin color, then considering their eye color, and finally their hair color. This order ensures that the makeup artist can choose colors that complement the client's complexion first and foremost, as this lays the foundation for the entire look. Eye colors can greatly influence the selection of eyeshadows, eyeliners, and mascaras, while hair color helps to inform the choice of colors for products like lipstick and blush to create a balanced and cohesive appearance.