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Finding the Fourth Proportional to 490.49, 676.97 and 324.71

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Solution

The fourth proportional to 490.49, 676.97 and 324.71 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 676.97 = 324.71 : x
  2. Step 2: Convert to fraction form
    490.49/676.97 = 324.71/x
  3. Step 3: Cross multiply
    490.49x = 676.97 × 324.71
  4. Step 4: Simplify right side
    490.49x = 219,813.92
  5. Step 5: Solve for x
    x = 219,813.92/490.49
  6. Step 6: Final answer
    x = 448.16

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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.