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Finding the Fourth Proportional to 481.29, 721.92 and 275.22

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Solution

The fourth proportional to 481.29, 721.92 and 275.22 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.29 : 721.92 = 275.22 : x
  2. Step 2: Convert to fraction form
    481.29/721.92 = 275.22/x
  3. Step 3: Cross multiply
    481.29x = 721.92 × 275.22
  4. Step 4: Simplify right side
    481.29x = 198,686.82
  5. Step 5: Solve for x
    x = 198,686.82/481.29
  6. Step 6: Final answer
    x = 412.82

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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.