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Finding the Fourth Proportional to 327.92, 449.72 and 314.68

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Solution

The fourth proportional to 327.92, 449.72 and 314.68 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 449.72 = 314.68 : x
  2. Step 2: Convert to fraction form
    327.92/449.72 = 314.68/x
  3. Step 3: Cross multiply
    327.92x = 449.72 × 314.68
  4. Step 4: Simplify right side
    327.92x = 141,517.89
  5. Step 5: Solve for x
    x = 141,517.89/327.92
  6. Step 6: Final answer
    x = 431.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.