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Finding the Fourth Proportional to 382.18, 527.79 and 329.43

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Solution

The fourth proportional to 382.18, 527.79 and 329.43 is: 454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 527.79 = 329.43 : x
  2. Step 2: Convert to fraction form
    382.18/527.79 = 329.43/x
  3. Step 3: Cross multiply
    382.18x = 527.79 × 329.43
  4. Step 4: Simplify right side
    382.18x = 173,869.04
  5. Step 5: Solve for x
    x = 173,869.04/382.18
  6. Step 6: Final answer
    x = 454.94

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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.