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Finding the Fourth Proportional to 490.62, 677.10 and 269.61

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Solution

The fourth proportional to 490.62, 677.10 and 269.61 is: 372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.62 : 677.10 = 269.61 : x
  2. Step 2: Convert to fraction form
    490.62/677.10 = 269.61/x
  3. Step 3: Cross multiply
    490.62x = 677.10 × 269.61
  4. Step 4: Simplify right side
    490.62x = 182,552.93
  5. Step 5: Solve for x
    x = 182,552.93/490.62
  6. Step 6: Final answer
    x = 372.09

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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.