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Finding the Fourth Proportional to 490.44, 676.52 and 324.60

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Solution

The fourth proportional to 490.44, 676.52 and 324.60 is: 447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 676.52 = 324.60 : x
  2. Step 2: Convert to fraction form
    490.44/676.52 = 324.60/x
  3. Step 3: Cross multiply
    490.44x = 676.52 × 324.60
  4. Step 4: Simplify right side
    490.44x = 219,598.39
  5. Step 5: Solve for x
    x = 219,598.39/490.44
  6. Step 6: Final answer
    x = 447.76

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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.