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Finding the Fourth Proportional to 391.62, 540.39 and 223.55

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Solution

The fourth proportional to 391.62, 540.39 and 223.55 is: 308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.62 : 540.39 = 223.55 : x
  2. Step 2: Convert to fraction form
    391.62/540.39 = 223.55/x
  3. Step 3: Cross multiply
    391.62x = 540.39 × 223.55
  4. Step 4: Simplify right side
    391.62x = 120,801.48
  5. Step 5: Solve for x
    x = 120,801.48/391.62
  6. Step 6: Final answer
    x = 308.47

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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.