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Finding the Fourth Proportional to 531.31, 733.46 and 354.57

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Solution

The fourth proportional to 531.31, 733.46 and 354.57 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.31 : 733.46 = 354.57 : x
  2. Step 2: Convert to fraction form
    531.31/733.46 = 354.57/x
  3. Step 3: Cross multiply
    531.31x = 733.46 × 354.57
  4. Step 4: Simplify right side
    531.31x = 260,062.91
  5. Step 5: Solve for x
    x = 260,062.91/531.31
  6. Step 6: Final answer
    x = 489.47

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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.