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Finding the Fourth Proportional to 391.02, 539.42 and 225.24

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Solution

The fourth proportional to 391.02, 539.42 and 225.24 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.02 : 539.42 = 225.24 : x
  2. Step 2: Convert to fraction form
    391.02/539.42 = 225.24/x
  3. Step 3: Cross multiply
    391.02x = 539.42 × 225.24
  4. Step 4: Simplify right side
    391.02x = 121,498.96
  5. Step 5: Solve for x
    x = 121,498.96/391.02
  6. Step 6: Final answer
    x = 310.72

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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.