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Finding the Fourth Proportional to 449.72, 674.78 and 244.16

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Solution

The fourth proportional to 449.72, 674.78 and 244.16 is: 366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.72 : 674.78 = 244.16 : x
  2. Step 2: Convert to fraction form
    449.72/674.78 = 244.16/x
  3. Step 3: Cross multiply
    449.72x = 674.78 × 244.16
  4. Step 4: Simplify right side
    449.72x = 164,754.28
  5. Step 5: Solve for x
    x = 164,754.28/449.72
  6. Step 6: Final answer
    x = 366.35

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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.