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Finding the Fourth Proportional to 382.39, 527.55 and 234.97

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Solution

The fourth proportional to 382.39, 527.55 and 234.97 is: 324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 527.55 = 234.97 : x
  2. Step 2: Convert to fraction form
    382.39/527.55 = 234.97/x
  3. Step 3: Cross multiply
    382.39x = 527.55 × 234.97
  4. Step 4: Simplify right side
    382.39x = 123,958.42
  5. Step 5: Solve for x
    x = 123,958.42/382.39
  6. Step 6: Final answer
    x = 324.17

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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.