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Finding the Fourth Proportional to 490.60, 735 and 450.52

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Solution

The fourth proportional to 490.60, 735 and 450.52 is: 674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 735 = 450.52 : x
  2. Step 2: Convert to fraction form
    490.60/735 = 450.52/x
  3. Step 3: Cross multiply
    490.60x = 735 × 450.52
  4. Step 4: Simplify right side
    490.60x = 331,132.20
  5. Step 5: Solve for x
    x = 331,132.20/490.60
  6. Step 6: Final answer
    x = 674.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.