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Finding the Fourth Proportional to 496.52, 746.06 and 449.16

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Solution

The fourth proportional to 496.52, 746.06 and 449.16 is: 674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.52 : 746.06 = 449.16 : x
  2. Step 2: Convert to fraction form
    496.52/746.06 = 449.16/x
  3. Step 3: Cross multiply
    496.52x = 746.06 × 449.16
  4. Step 4: Simplify right side
    496.52x = 335,100.31
  5. Step 5: Solve for x
    x = 335,100.31/496.52
  6. Step 6: Final answer
    x = 674.90

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Why These Related Problems?

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