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Finding the Fourth Proportional to 382.13, 527.33 and 224.73

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Solution

The fourth proportional to 382.13, 527.33 and 224.73 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 527.33 = 224.73 : x
  2. Step 2: Convert to fraction form
    382.13/527.33 = 224.73/x
  3. Step 3: Cross multiply
    382.13x = 527.33 × 224.73
  4. Step 4: Simplify right side
    382.13x = 118,508.75
  5. Step 5: Solve for x
    x = 118,508.75/382.13
  6. Step 6: Final answer
    x = 310.12

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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.