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Finding the Fourth Proportional to 574.38, 861.61 and 163.49

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Solution

The fourth proportional to 574.38, 861.61 and 163.49 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.38 : 861.61 = 163.49 : x
  2. Step 2: Convert to fraction form
    574.38/861.61 = 163.49/x
  3. Step 3: Cross multiply
    574.38x = 861.61 × 163.49
  4. Step 4: Simplify right side
    574.38x = 140,863.13
  5. Step 5: Solve for x
    x = 140,863.13/574.38
  6. Step 6: Final answer
    x = 245.24

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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.