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Finding the Fourth Proportional to 449.14, 674.00 and 295.38

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Solution

The fourth proportional to 449.14, 674.00 and 295.38 is: 443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 674.00 = 295.38 : x
  2. Step 2: Convert to fraction form
    449.14/674.00 = 295.38/x
  3. Step 3: Cross multiply
    449.14x = 674.00 × 295.38
  4. Step 4: Simplify right side
    449.14x = 199,081.27
  5. Step 5: Solve for x
    x = 199,081.27/449.14
  6. Step 6: Final answer
    x = 443.25

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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.