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Finding the Fourth Proportional to 531.68, 731.84 and 461.30

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Solution

The fourth proportional to 531.68, 731.84 and 461.30 is: 634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 731.84 = 461.30 : x
  2. Step 2: Convert to fraction form
    531.68/731.84 = 461.30/x
  3. Step 3: Cross multiply
    531.68x = 731.84 × 461.30
  4. Step 4: Simplify right side
    531.68x = 337,591.83
  5. Step 5: Solve for x
    x = 337,591.83/531.68
  6. Step 6: Final answer
    x = 634.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.