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Finding the Fourth Proportional to 392.62, 588.49 and 209.56

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Solution

The fourth proportional to 392.62, 588.49 and 209.56 is: 314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.62 : 588.49 = 209.56 : x
  2. Step 2: Convert to fraction form
    392.62/588.49 = 209.56/x
  3. Step 3: Cross multiply
    392.62x = 588.49 × 209.56
  4. Step 4: Simplify right side
    392.62x = 123,323.96
  5. Step 5: Solve for x
    x = 123,323.96/392.62
  6. Step 6: Final answer
    x = 314.11

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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.