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Finding the Fourth Proportional to 489.00, 674.78 and 267.94

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Solution

The fourth proportional to 489.00, 674.78 and 267.94 is: 369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.00 : 674.78 = 267.94 : x
  2. Step 2: Convert to fraction form
    489.00/674.78 = 267.94/x
  3. Step 3: Cross multiply
    489.00x = 674.78 × 267.94
  4. Step 4: Simplify right side
    489.00x = 180,801.56
  5. Step 5: Solve for x
    x = 180,801.56/489.00
  6. Step 6: Final answer
    x = 369.73

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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.