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Finding the Fourth Proportional to 382.05, 527.42 and 282.38

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Solution

The fourth proportional to 382.05, 527.42 and 282.38 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 527.42 = 282.38 : x
  2. Step 2: Convert to fraction form
    382.05/527.42 = 282.38/x
  3. Step 3: Cross multiply
    382.05x = 527.42 × 282.38
  4. Step 4: Simplify right side
    382.05x = 148,930.93
  5. Step 5: Solve for x
    x = 148,930.93/382.05
  6. Step 6: Final answer
    x = 389.82

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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.