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Finding the Fourth Proportional to 481.86, 664.92 and 285.42

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Solution

The fourth proportional to 481.86, 664.92 and 285.42 is: 393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.86 : 664.92 = 285.42 : x
  2. Step 2: Convert to fraction form
    481.86/664.92 = 285.42/x
  3. Step 3: Cross multiply
    481.86x = 664.92 × 285.42
  4. Step 4: Simplify right side
    481.86x = 189,781.47
  5. Step 5: Solve for x
    x = 189,781.47/481.86
  6. Step 6: Final answer
    x = 393.85

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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.