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Finding the Fourth Proportional to 481.92, 721.26 and 327.21

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Solution

The fourth proportional to 481.92, 721.26 and 327.21 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 721.26 = 327.21 : x
  2. Step 2: Convert to fraction form
    481.92/721.26 = 327.21/x
  3. Step 3: Cross multiply
    481.92x = 721.26 × 327.21
  4. Step 4: Simplify right side
    481.92x = 236,003.48
  5. Step 5: Solve for x
    x = 236,003.48/481.92
  6. Step 6: Final answer
    x = 489.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.