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Finding the Fourth Proportional to 574.50, 861.87 and 232.50

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Solution

The fourth proportional to 574.50, 861.87 and 232.50 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.50 : 861.87 = 232.50 : x
  2. Step 2: Convert to fraction form
    574.50/861.87 = 232.50/x
  3. Step 3: Cross multiply
    574.50x = 861.87 × 232.50
  4. Step 4: Simplify right side
    574.50x = 200,384.78
  5. Step 5: Solve for x
    x = 200,384.78/574.50
  6. Step 6: Final answer
    x = 348.80

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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.