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Finding the Fourth Proportional to 382.20, 527.52 and 234.84

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Solution

The fourth proportional to 382.20, 527.52 and 234.84 is: 324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 527.52 = 234.84 : x
  2. Step 2: Convert to fraction form
    382.20/527.52 = 234.84/x
  3. Step 3: Cross multiply
    382.20x = 527.52 × 234.84
  4. Step 4: Simplify right side
    382.20x = 123,882.80
  5. Step 5: Solve for x
    x = 123,882.80/382.20
  6. Step 6: Final answer
    x = 324.13

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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.