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Finding the Fourth Proportional to 542.96, 814.56 and 269.12

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Solution

The fourth proportional to 542.96, 814.56 and 269.12 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.96 : 814.56 = 269.12 : x
  2. Step 2: Convert to fraction form
    542.96/814.56 = 269.12/x
  3. Step 3: Cross multiply
    542.96x = 814.56 × 269.12
  4. Step 4: Simplify right side
    542.96x = 219,214.39
  5. Step 5: Solve for x
    x = 219,214.39/542.96
  6. Step 6: Final answer
    x = 403.74

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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.