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Finding the Fourth Proportional to 481.48, 721.92 and 275.80

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Solution

The fourth proportional to 481.48, 721.92 and 275.80 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 721.92 = 275.80 : x
  2. Step 2: Convert to fraction form
    481.48/721.92 = 275.80/x
  3. Step 3: Cross multiply
    481.48x = 721.92 × 275.80
  4. Step 4: Simplify right side
    481.48x = 199,105.54
  5. Step 5: Solve for x
    x = 199,105.54/481.48
  6. Step 6: Final answer
    x = 413.53

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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.