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Finding the Fourth Proportional to 542.91, 814.14 and 269.13

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Solution

The fourth proportional to 542.91, 814.14 and 269.13 is: 403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.91 : 814.14 = 269.13 : x
  2. Step 2: Convert to fraction form
    542.91/814.14 = 269.13/x
  3. Step 3: Cross multiply
    542.91x = 814.14 × 269.13
  4. Step 4: Simplify right side
    542.91x = 219,109.50
  5. Step 5: Solve for x
    x = 219,109.50/542.91
  6. Step 6: Final answer
    x = 403.58

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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.