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Finding the Fourth Proportional to 490.70, 677.20 and 269.65

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Solution

The fourth proportional to 490.70, 677.20 and 269.65 is: 372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 677.20 = 269.65 : x
  2. Step 2: Convert to fraction form
    490.70/677.20 = 269.65/x
  3. Step 3: Cross multiply
    490.70x = 677.20 × 269.65
  4. Step 4: Simplify right side
    490.70x = 182,606.98
  5. Step 5: Solve for x
    x = 182,606.98/490.70
  6. Step 6: Final answer
    x = 372.14

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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.