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Finding the Fourth Proportional to 531.66, 733.14 and 356.70

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Solution

The fourth proportional to 531.66, 733.14 and 356.70 is: 491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 733.14 = 356.70 : x
  2. Step 2: Convert to fraction form
    531.66/733.14 = 356.70/x
  3. Step 3: Cross multiply
    531.66x = 733.14 × 356.70
  4. Step 4: Simplify right side
    531.66x = 261,511.04
  5. Step 5: Solve for x
    x = 261,511.04/531.66
  6. Step 6: Final answer
    x = 491.88

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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.