Finding the Fourth Proportional to 534.64, 801.12 and 406
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Solution
The fourth proportional to 534.64, 801.12 and 406 is: 608.36
Step by Step Solution
- Step 1: Write the proportion equation
534.64 : 801.12 = 406 : x - Step 2: Convert to fraction form
534.64/801.12 = 406/x - Step 3: Cross multiply
534.64x = 801.12 × 406 - Step 4: Simplify right side
534.64x = 325,254.72 - Step 5: Solve for x
x = 325,254.72/534.64 - Step 6: Final answer
x = 608.36
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.