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Finding the Fourth Proportional to 542.61, 814.74 and 269.64

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Solution

The fourth proportional to 542.61, 814.74 and 269.64 is: 404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.61 : 814.74 = 269.64 : x
  2. Step 2: Convert to fraction form
    542.61/814.74 = 269.64/x
  3. Step 3: Cross multiply
    542.61x = 814.74 × 269.64
  4. Step 4: Simplify right side
    542.61x = 219,686.49
  5. Step 5: Solve for x
    x = 219,686.49/542.61
  6. Step 6: Final answer
    x = 404.87

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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.