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Finding the Fourth Proportional to 531.18, 731.24 and 457.06

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Solution

The fourth proportional to 531.18, 731.24 and 457.06 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.18 : 731.24 = 457.06 : x
  2. Step 2: Convert to fraction form
    531.18/731.24 = 457.06/x
  3. Step 3: Cross multiply
    531.18x = 731.24 × 457.06
  4. Step 4: Simplify right side
    531.18x = 334,220.55
  5. Step 5: Solve for x
    x = 334,220.55/531.18
  6. Step 6: Final answer
    x = 629.20

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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.