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Finding the Fourth Proportional to 490.69, 677.11 and 280.92

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Solution

The fourth proportional to 490.69, 677.11 and 280.92 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 677.11 = 280.92 : x
  2. Step 2: Convert to fraction form
    490.69/677.11 = 280.92/x
  3. Step 3: Cross multiply
    490.69x = 677.11 × 280.92
  4. Step 4: Simplify right side
    490.69x = 190,213.74
  5. Step 5: Solve for x
    x = 190,213.74/490.69
  6. Step 6: Final answer
    x = 387.65

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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.