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Finding the Fourth Proportional to 449.64, 674.40 and 124.96

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Solution

The fourth proportional to 449.64, 674.40 and 124.96 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 674.40 = 124.96 : x
  2. Step 2: Convert to fraction form
    449.64/674.40 = 124.96/x
  3. Step 3: Cross multiply
    449.64x = 674.40 × 124.96
  4. Step 4: Simplify right side
    449.64x = 84,273.02
  5. Step 5: Solve for x
    x = 84,273.02/449.64
  6. Step 6: Final answer
    x = 187.42

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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.