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Finding the Fourth Proportional to 546.27, 819.12 and 237.96

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Solution

The fourth proportional to 546.27, 819.12 and 237.96 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 819.12 = 237.96 : x
  2. Step 2: Convert to fraction form
    546.27/819.12 = 237.96/x
  3. Step 3: Cross multiply
    546.27x = 819.12 × 237.96
  4. Step 4: Simplify right side
    546.27x = 194,917.80
  5. Step 5: Solve for x
    x = 194,917.80/546.27
  6. Step 6: Final answer
    x = 356.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.