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Finding the Fourth Proportional to 489.97, 676.02 and 290.80

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Solution

The fourth proportional to 489.97, 676.02 and 290.80 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.97 : 676.02 = 290.80 : x
  2. Step 2: Convert to fraction form
    489.97/676.02 = 290.80/x
  3. Step 3: Cross multiply
    489.97x = 676.02 × 290.80
  4. Step 4: Simplify right side
    489.97x = 196,586.62
  5. Step 5: Solve for x
    x = 196,586.62/489.97
  6. Step 6: Final answer
    x = 401.23

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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.