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Finding the Fourth Proportional to 493.20, 676.50 and 490.80

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Solution

The fourth proportional to 493.20, 676.50 and 490.80 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 676.50 = 490.80 : x
  2. Step 2: Convert to fraction form
    493.20/676.50 = 490.80/x
  3. Step 3: Cross multiply
    493.20x = 676.50 × 490.80
  4. Step 4: Simplify right side
    493.20x = 332,026.20
  5. Step 5: Solve for x
    x = 332,026.20/493.20
  6. Step 6: Final answer
    x = 673.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.