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Finding the Fourth Proportional to 391.85, 540.73 and 226.07

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Solution

The fourth proportional to 391.85, 540.73 and 226.07 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.85 : 540.73 = 226.07 : x
  2. Step 2: Convert to fraction form
    391.85/540.73 = 226.07/x
  3. Step 3: Cross multiply
    391.85x = 540.73 × 226.07
  4. Step 4: Simplify right side
    391.85x = 122,240.69
  5. Step 5: Solve for x
    x = 122,240.69/391.85
  6. Step 6: Final answer
    x = 311.96

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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.