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Finding the Fourth Proportional to 391.82, 540.71 and 226.03

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Solution

The fourth proportional to 391.82, 540.71 and 226.03 is: 311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.82 : 540.71 = 226.03 : x
  2. Step 2: Convert to fraction form
    391.82/540.71 = 226.03/x
  3. Step 3: Cross multiply
    391.82x = 540.71 × 226.03
  4. Step 4: Simplify right side
    391.82x = 122,214.20
  5. Step 5: Solve for x
    x = 122,214.20/391.82
  6. Step 6: Final answer
    x = 311.92

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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.