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Finding the Fourth Proportional to 481.48, 720.84 and 275.68

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Solution

The fourth proportional to 481.48, 720.84 and 275.68 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 720.84 = 275.68 : x
  2. Step 2: Convert to fraction form
    481.48/720.84 = 275.68/x
  3. Step 3: Cross multiply
    481.48x = 720.84 × 275.68
  4. Step 4: Simplify right side
    481.48x = 198,721.17
  5. Step 5: Solve for x
    x = 198,721.17/481.48
  6. Step 6: Final answer
    x = 412.73

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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.