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Finding the Fourth Proportional to 391.04, 539.60 and 225.25

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Solution

The fourth proportional to 391.04, 539.60 and 225.25 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.04 : 539.60 = 225.25 : x
  2. Step 2: Convert to fraction form
    391.04/539.60 = 225.25/x
  3. Step 3: Cross multiply
    391.04x = 539.60 × 225.25
  4. Step 4: Simplify right side
    391.04x = 121,543.27
  5. Step 5: Solve for x
    x = 121,543.27/391.04
  6. Step 6: Final answer
    x = 310.82

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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.