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Finding the Fourth Proportional to 449.67, 674.33 and 189.79

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Solution

The fourth proportional to 449.67, 674.33 and 189.79 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.67 : 674.33 = 189.79 : x
  2. Step 2: Convert to fraction form
    449.67/674.33 = 189.79/x
  3. Step 3: Cross multiply
    449.67x = 674.33 × 189.79
  4. Step 4: Simplify right side
    449.67x = 127,982.25
  5. Step 5: Solve for x
    x = 127,982.25/449.67
  6. Step 6: Final answer
    x = 284.61

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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.