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Finding the Fourth Proportional to 490.38, 676.97 and 315.83

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Solution

The fourth proportional to 490.38, 676.97 and 315.83 is: 435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 676.97 = 315.83 : x
  2. Step 2: Convert to fraction form
    490.38/676.97 = 315.83/x
  3. Step 3: Cross multiply
    490.38x = 676.97 × 315.83
  4. Step 4: Simplify right side
    490.38x = 213,802.47
  5. Step 5: Solve for x
    x = 213,802.47/490.38
  6. Step 6: Final answer
    x = 435.99

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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.