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Finding the Fourth Proportional to 490.69, 677.19 and 269.66

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Solution

The fourth proportional to 490.69, 677.19 and 269.66 is: 372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 677.19 = 269.66 : x
  2. Step 2: Convert to fraction form
    490.69/677.19 = 269.66/x
  3. Step 3: Cross multiply
    490.69x = 677.19 × 269.66
  4. Step 4: Simplify right side
    490.69x = 182,613.76
  5. Step 5: Solve for x
    x = 182,613.76/490.69
  6. Step 6: Final answer
    x = 372.16

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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.