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Finding the Fourth Proportional to 481.56, 721.16 and 275.62

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Solution

The fourth proportional to 481.56, 721.16 and 275.62 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.56 : 721.16 = 275.62 : x
  2. Step 2: Convert to fraction form
    481.56/721.16 = 275.62/x
  3. Step 3: Cross multiply
    481.56x = 721.16 × 275.62
  4. Step 4: Simplify right side
    481.56x = 198,766.12
  5. Step 5: Solve for x
    x = 198,766.12/481.56
  6. Step 6: Final answer
    x = 412.75

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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.