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Finding the Fourth Proportional to 490.65, 676.67 and 396.83

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Solution

The fourth proportional to 490.65, 676.67 and 396.83 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 676.67 = 396.83 : x
  2. Step 2: Convert to fraction form
    490.65/676.67 = 396.83/x
  3. Step 3: Cross multiply
    490.65x = 676.67 × 396.83
  4. Step 4: Simplify right side
    490.65x = 268,517.59
  5. Step 5: Solve for x
    x = 268,517.59/490.65
  6. Step 6: Final answer
    x = 547.27

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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.