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Finding the Fourth Proportional to 392.28, 588.50 and 209.76

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Solution

The fourth proportional to 392.28, 588.50 and 209.76 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 588.50 = 209.76 : x
  2. Step 2: Convert to fraction form
    392.28/588.50 = 209.76/x
  3. Step 3: Cross multiply
    392.28x = 588.50 × 209.76
  4. Step 4: Simplify right side
    392.28x = 123,443.76
  5. Step 5: Solve for x
    x = 123,443.76/392.28
  6. Step 6: Final answer
    x = 314.68

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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.