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Finding the Fourth Proportional to 392.24, 588.57 and 209.62

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Solution

The fourth proportional to 392.24, 588.57 and 209.62 is: 314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.24 : 588.57 = 209.62 : x
  2. Step 2: Convert to fraction form
    392.24/588.57 = 209.62/x
  3. Step 3: Cross multiply
    392.24x = 588.57 × 209.62
  4. Step 4: Simplify right side
    392.24x = 123,375.99
  5. Step 5: Solve for x
    x = 123,375.99/392.24
  6. Step 6: Final answer
    x = 314.54

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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.