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Finding the Fourth Proportional to 392.52, 588.36 and 209.73

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Solution

The fourth proportional to 392.52, 588.36 and 209.73 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.52 : 588.36 = 209.73 : x
  2. Step 2: Convert to fraction form
    392.52/588.36 = 209.73/x
  3. Step 3: Cross multiply
    392.52x = 588.36 × 209.73
  4. Step 4: Simplify right side
    392.52x = 123,396.74
  5. Step 5: Solve for x
    x = 123,396.74/392.52
  6. Step 6: Final answer
    x = 314.37

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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.