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Finding the Fourth Proportional to 542.84, 814.32 and 269.12

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Solution

The fourth proportional to 542.84, 814.32 and 269.12 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 814.32 = 269.12 : x
  2. Step 2: Convert to fraction form
    542.84/814.32 = 269.12/x
  3. Step 3: Cross multiply
    542.84x = 814.32 × 269.12
  4. Step 4: Simplify right side
    542.84x = 219,149.80
  5. Step 5: Solve for x
    x = 219,149.80/542.84
  6. Step 6: Final answer
    x = 403.71

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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.