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Finding the Fourth Proportional to 572.38, 789.03 and 414.74

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Solution

The fourth proportional to 572.38, 789.03 and 414.74 is: 571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 789.03 = 414.74 : x
  2. Step 2: Convert to fraction form
    572.38/789.03 = 414.74/x
  3. Step 3: Cross multiply
    572.38x = 789.03 × 414.74
  4. Step 4: Simplify right side
    572.38x = 327,244.27
  5. Step 5: Solve for x
    x = 327,244.27/572.38
  6. Step 6: Final answer
    x = 571.73

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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.