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Finding the Fourth Proportional to 489.92, 676.15 and 411.14

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Solution

The fourth proportional to 489.92, 676.15 and 411.14 is: 567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.92 : 676.15 = 411.14 : x
  2. Step 2: Convert to fraction form
    489.92/676.15 = 411.14/x
  3. Step 3: Cross multiply
    489.92x = 676.15 × 411.14
  4. Step 4: Simplify right side
    489.92x = 277,992.97
  5. Step 5: Solve for x
    x = 277,992.97/489.92
  6. Step 6: Final answer
    x = 567.43

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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.