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Finding the Fourth Proportional to 497.36, 746.16 and 449.60

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Solution

The fourth proportional to 497.36, 746.16 and 449.60 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.36 : 746.16 = 449.60 : x
  2. Step 2: Convert to fraction form
    497.36/746.16 = 449.60/x
  3. Step 3: Cross multiply
    497.36x = 746.16 × 449.60
  4. Step 4: Simplify right side
    497.36x = 335,473.54
  5. Step 5: Solve for x
    x = 335,473.54/497.36
  6. Step 6: Final answer
    x = 674.51

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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.