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Finding the Fourth Proportional to 490.32, 676.92 and 324.48

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Solution

The fourth proportional to 490.32, 676.92 and 324.48 is: 447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 676.92 = 324.48 : x
  2. Step 2: Convert to fraction form
    490.32/676.92 = 324.48/x
  3. Step 3: Cross multiply
    490.32x = 676.92 × 324.48
  4. Step 4: Simplify right side
    490.32x = 219,647.00
  5. Step 5: Solve for x
    x = 219,647.00/490.32
  6. Step 6: Final answer
    x = 447.97

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