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Finding the Fourth Proportional to 391.64, 540.46 and 225.74

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Solution

The fourth proportional to 391.64, 540.46 and 225.74 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 540.46 = 225.74 : x
  2. Step 2: Convert to fraction form
    391.64/540.46 = 225.74/x
  3. Step 3: Cross multiply
    391.64x = 540.46 × 225.74
  4. Step 4: Simplify right side
    391.64x = 122,003.44
  5. Step 5: Solve for x
    x = 122,003.44/391.64
  6. Step 6: Final answer
    x = 311.52

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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.