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Finding the Fourth Proportional to 382.52, 527.89 and 216.76

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Solution

The fourth proportional to 382.52, 527.89 and 216.76 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.52 : 527.89 = 216.76 : x
  2. Step 2: Convert to fraction form
    382.52/527.89 = 216.76/x
  3. Step 3: Cross multiply
    382.52x = 527.89 × 216.76
  4. Step 4: Simplify right side
    382.52x = 114,422.58
  5. Step 5: Solve for x
    x = 114,422.58/382.52
  6. Step 6: Final answer
    x = 299.13

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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.