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Finding the Fourth Proportional to 391.14, 540.23 and 251.24

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Solution

The fourth proportional to 391.14, 540.23 and 251.24 is: 346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.14 : 540.23 = 251.24 : x
  2. Step 2: Convert to fraction form
    391.14/540.23 = 251.24/x
  3. Step 3: Cross multiply
    391.14x = 540.23 × 251.24
  4. Step 4: Simplify right side
    391.14x = 135,723.43
  5. Step 5: Solve for x
    x = 135,723.43/391.14
  6. Step 6: Final answer
    x = 346.99

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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.