Finding the Fourth Proportional to 361.60, 499.12 and 288.24
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Solution
The fourth proportional to 361.60, 499.12 and 288.24 is: 397.86
Step by Step Solution
- Step 1: Write the proportion equation
361.60 : 499.12 = 288.24 : x - Step 2: Convert to fraction form
361.60/499.12 = 288.24/x - Step 3: Cross multiply
361.60x = 499.12 × 288.24 - Step 4: Simplify right side
361.60x = 143,866.35 - Step 5: Solve for x
x = 143,866.35/361.60 - Step 6: Final answer
x = 397.86
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.