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Finding the Fourth Proportional to 489.02, 674.82 and 267.97

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Solution

The fourth proportional to 489.02, 674.82 and 267.97 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.02 : 674.82 = 267.97 : x
  2. Step 2: Convert to fraction form
    489.02/674.82 = 267.97/x
  3. Step 3: Cross multiply
    489.02x = 674.82 × 267.97
  4. Step 4: Simplify right side
    489.02x = 180,831.52
  5. Step 5: Solve for x
    x = 180,831.52/489.02
  6. Step 6: Final answer
    x = 369.78

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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.