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Finding the Fourth Proportional to 382.47, 527.82 and 225.11

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Solution

The fourth proportional to 382.47, 527.82 and 225.11 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 527.82 = 225.11 : x
  2. Step 2: Convert to fraction form
    382.47/527.82 = 225.11/x
  3. Step 3: Cross multiply
    382.47x = 527.82 × 225.11
  4. Step 4: Simplify right side
    382.47x = 118,816.43
  5. Step 5: Solve for x
    x = 118,816.43/382.47
  6. Step 6: Final answer
    x = 310.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.