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Finding the Fourth Proportional to 382.47, 527.91 and 225.21

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Solution

The fourth proportional to 382.47, 527.91 and 225.21 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 527.91 = 225.21 : x
  2. Step 2: Convert to fraction form
    382.47/527.91 = 225.21/x
  3. Step 3: Cross multiply
    382.47x = 527.91 × 225.21
  4. Step 4: Simplify right side
    382.47x = 118,890.61
  5. Step 5: Solve for x
    x = 118,890.61/382.47
  6. Step 6: Final answer
    x = 310.85

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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.