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Finding the Fourth Proportional to 391.27, 586.72 and 228.91

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Solution

The fourth proportional to 391.27, 586.72 and 228.91 is: 343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.27 : 586.72 = 228.91 : x
  2. Step 2: Convert to fraction form
    391.27/586.72 = 228.91/x
  3. Step 3: Cross multiply
    391.27x = 586.72 × 228.91
  4. Step 4: Simplify right side
    391.27x = 134,306.08
  5. Step 5: Solve for x
    x = 134,306.08/391.27
  6. Step 6: Final answer
    x = 343.26

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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.