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Finding the Fourth Proportional to 391.96, 588.30 and 209.44

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Solution

The fourth proportional to 391.96, 588.30 and 209.44 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.96 : 588.30 = 209.44 : x
  2. Step 2: Convert to fraction form
    391.96/588.30 = 209.44/x
  3. Step 3: Cross multiply
    391.96x = 588.30 × 209.44
  4. Step 4: Simplify right side
    391.96x = 123,213.55
  5. Step 5: Solve for x
    x = 123,213.55/391.96
  6. Step 6: Final answer
    x = 314.35

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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.