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Finding the Fourth Proportional to 449.44, 674.40 and 192.96

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Solution

The fourth proportional to 449.44, 674.40 and 192.96 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.44 : 674.40 = 192.96 : x
  2. Step 2: Convert to fraction form
    449.44/674.40 = 192.96/x
  3. Step 3: Cross multiply
    449.44x = 674.40 × 192.96
  4. Step 4: Simplify right side
    449.44x = 130,132.22
  5. Step 5: Solve for x
    x = 130,132.22/449.44
  6. Step 6: Final answer
    x = 289.54

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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.