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Finding the Fourth Proportional to 490.97, 676.79 and 412.54

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Solution

The fourth proportional to 490.97, 676.79 and 412.54 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.97 : 676.79 = 412.54 : x
  2. Step 2: Convert to fraction form
    490.97/676.79 = 412.54/x
  3. Step 3: Cross multiply
    490.97x = 676.79 × 412.54
  4. Step 4: Simplify right side
    490.97x = 279,202.95
  5. Step 5: Solve for x
    x = 279,202.95/490.97
  6. Step 6: Final answer
    x = 568.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.