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Finding the Fourth Proportional to 382.92, 527.49 and 284.64

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Solution

The fourth proportional to 382.92, 527.49 and 284.64 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.92 : 527.49 = 284.64 : x
  2. Step 2: Convert to fraction form
    382.92/527.49 = 284.64/x
  3. Step 3: Cross multiply
    382.92x = 527.49 × 284.64
  4. Step 4: Simplify right side
    382.92x = 150,144.75
  5. Step 5: Solve for x
    x = 150,144.75/382.92
  6. Step 6: Final answer
    x = 392.10

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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.