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Finding the Fourth Proportional to 382.38, 527.68 and 207.72

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Solution

The fourth proportional to 382.38, 527.68 and 207.72 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 527.68 = 207.72 : x
  2. Step 2: Convert to fraction form
    382.38/527.68 = 207.72/x
  3. Step 3: Cross multiply
    382.38x = 527.68 × 207.72
  4. Step 4: Simplify right side
    382.38x = 109,609.69
  5. Step 5: Solve for x
    x = 109,609.69/382.38
  6. Step 6: Final answer
    x = 286.65

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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.