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Finding the Fourth Proportional to 391.30, 539.92 and 225.52

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Solution

The fourth proportional to 391.30, 539.92 and 225.52 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.30 : 539.92 = 225.52 : x
  2. Step 2: Convert to fraction form
    391.30/539.92 = 225.52/x
  3. Step 3: Cross multiply
    391.30x = 539.92 × 225.52
  4. Step 4: Simplify right side
    391.30x = 121,758.93
  5. Step 5: Solve for x
    x = 121,758.93/391.30
  6. Step 6: Final answer
    x = 311.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.