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Finding the Fourth Proportional to 481.06, 663.96 and 284.68

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Solution

The fourth proportional to 481.06, 663.96 and 284.68 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.06 : 663.96 = 284.68 : x
  2. Step 2: Convert to fraction form
    481.06/663.96 = 284.68/x
  3. Step 3: Cross multiply
    481.06x = 663.96 × 284.68
  4. Step 4: Simplify right side
    481.06x = 189,016.13
  5. Step 5: Solve for x
    x = 189,016.13/481.06
  6. Step 6: Final answer
    x = 392.92

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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.