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Finding the Fourth Proportional to 481.48, 663.84 and 284.92

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Solution

The fourth proportional to 481.48, 663.84 and 284.92 is: 392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 663.84 = 284.92 : x
  2. Step 2: Convert to fraction form
    481.48/663.84 = 284.92/x
  3. Step 3: Cross multiply
    481.48x = 663.84 × 284.92
  4. Step 4: Simplify right side
    481.48x = 189,141.29
  5. Step 5: Solve for x
    x = 189,141.29/481.48
  6. Step 6: Final answer
    x = 392.83

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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.