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Finding the Fourth Proportional to 489.80, 676.20 and 324.48

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Solution

The fourth proportional to 489.80, 676.20 and 324.48 is: 447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 676.20 = 324.48 : x
  2. Step 2: Convert to fraction form
    489.80/676.20 = 324.48/x
  3. Step 3: Cross multiply
    489.80x = 676.20 × 324.48
  4. Step 4: Simplify right side
    489.80x = 219,413.38
  5. Step 5: Solve for x
    x = 219,413.38/489.80
  6. Step 6: Final answer
    x = 447.97

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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.