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Finding the Fourth Proportional to 542.72, 814.52 and 269.04

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Solution

The fourth proportional to 542.72, 814.52 and 269.04 is: 403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 814.52 = 269.04 : x
  2. Step 2: Convert to fraction form
    542.72/814.52 = 269.04/x
  3. Step 3: Cross multiply
    542.72x = 814.52 × 269.04
  4. Step 4: Simplify right side
    542.72x = 219,138.46
  5. Step 5: Solve for x
    x = 219,138.46/542.72
  6. Step 6: Final answer
    x = 403.78

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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.