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Finding the Fourth Proportional to 650.28, 974.82 and 284.78

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Solution

The fourth proportional to 650.28, 974.82 and 284.78 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 974.82 = 284.78 : x
  2. Step 2: Convert to fraction form
    650.28/974.82 = 284.78/x
  3. Step 3: Cross multiply
    650.28x = 974.82 × 284.78
  4. Step 4: Simplify right side
    650.28x = 277,609.24
  5. Step 5: Solve for x
    x = 277,609.24/650.28
  6. Step 6: Final answer
    x = 426.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.