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Finding the Fourth Proportional to 481.39, 664.13 and 294.73

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Solution

The fourth proportional to 481.39, 664.13 and 294.73 is: 406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.39 : 664.13 = 294.73 : x
  2. Step 2: Convert to fraction form
    481.39/664.13 = 294.73/x
  3. Step 3: Cross multiply
    481.39x = 664.13 × 294.73
  4. Step 4: Simplify right side
    481.39x = 195,738.11
  5. Step 5: Solve for x
    x = 195,738.11/481.39
  6. Step 6: Final answer
    x = 406.61

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Double scale
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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.