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Finding the Fourth Proportional to 492.16, 738.24 and 449.44

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Solution

The fourth proportional to 492.16, 738.24 and 449.44 is: 674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.16 : 738.24 = 449.44 : x
  2. Step 2: Convert to fraction form
    492.16/738.24 = 449.44/x
  3. Step 3: Cross multiply
    492.16x = 738.24 × 449.44
  4. Step 4: Simplify right side
    492.16x = 331,794.59
  5. Step 5: Solve for x
    x = 331,794.59/492.16
  6. Step 6: Final answer
    x = 674.16

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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.