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Finding the Fourth Proportional to 481.20, 664.11 and 284.73

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Solution

The fourth proportional to 481.20, 664.11 and 284.73 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.20 : 664.11 = 284.73 : x
  2. Step 2: Convert to fraction form
    481.20/664.11 = 284.73/x
  3. Step 3: Cross multiply
    481.20x = 664.11 × 284.73
  4. Step 4: Simplify right side
    481.20x = 189,092.04
  5. Step 5: Solve for x
    x = 189,092.04/481.20
  6. Step 6: Final answer
    x = 392.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.