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Finding the Fourth Proportional to 537.71, 742.23 and 404.73

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Solution

The fourth proportional to 537.71, 742.23 and 404.73 is: 558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.71 : 742.23 = 404.73 : x
  2. Step 2: Convert to fraction form
    537.71/742.23 = 404.73/x
  3. Step 3: Cross multiply
    537.71x = 742.23 × 404.73
  4. Step 4: Simplify right side
    537.71x = 300,402.75
  5. Step 5: Solve for x
    x = 300,402.75/537.71
  6. Step 6: Final answer
    x = 558.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.