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Finding the Fourth Proportional to 382.18, 527.19 and 234.71

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Solution

The fourth proportional to 382.18, 527.19 and 234.71 is: 323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 527.19 = 234.71 : x
  2. Step 2: Convert to fraction form
    382.18/527.19 = 234.71/x
  3. Step 3: Cross multiply
    382.18x = 527.19 × 234.71
  4. Step 4: Simplify right side
    382.18x = 123,736.55
  5. Step 5: Solve for x
    x = 123,736.55/382.18
  6. Step 6: Final answer
    x = 323.77

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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.