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Finding the Fourth Proportional to 449.97, 674.41 and 189.87

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Solution

The fourth proportional to 449.97, 674.41 and 189.87 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.97 : 674.41 = 189.87 : x
  2. Step 2: Convert to fraction form
    449.97/674.41 = 189.87/x
  3. Step 3: Cross multiply
    449.97x = 674.41 × 189.87
  4. Step 4: Simplify right side
    449.97x = 128,050.23
  5. Step 5: Solve for x
    x = 128,050.23/449.97
  6. Step 6: Final answer
    x = 284.58

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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.