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Finding the Fourth Proportional to 391.89, 587.21 and 229.71

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Solution

The fourth proportional to 391.89, 587.21 and 229.71 is: 344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.89 : 587.21 = 229.71 : x
  2. Step 2: Convert to fraction form
    391.89/587.21 = 229.71/x
  3. Step 3: Cross multiply
    391.89x = 587.21 × 229.71
  4. Step 4: Simplify right side
    391.89x = 134,886.86
  5. Step 5: Solve for x
    x = 134,886.86/391.89
  6. Step 6: Final answer
    x = 344.20

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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.