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Finding the Fourth Proportional to 382.39, 527.96 and 251.62

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Solution

The fourth proportional to 382.39, 527.96 and 251.62 is: 347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 527.96 = 251.62 : x
  2. Step 2: Convert to fraction form
    382.39/527.96 = 251.62/x
  3. Step 3: Cross multiply
    382.39x = 527.96 × 251.62
  4. Step 4: Simplify right side
    382.39x = 132,845.30
  5. Step 5: Solve for x
    x = 132,845.30/382.39
  6. Step 6: Final answer
    x = 347.41

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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.