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Finding the Fourth Proportional to 489.00, 674.81 and 267.96

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Solution

The fourth proportional to 489.00, 674.81 and 267.96 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.00 : 674.81 = 267.96 : x
  2. Step 2: Convert to fraction form
    489.00/674.81 = 267.96/x
  3. Step 3: Cross multiply
    489.00x = 674.81 × 267.96
  4. Step 4: Simplify right side
    489.00x = 180,821.99
  5. Step 5: Solve for x
    x = 180,821.99/489.00
  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.