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Finding the Fourth Proportional to 299.08, 449.01 and 281.26

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Solution

The fourth proportional to 299.08, 449.01 and 281.26 is: 422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 449.01 = 281.26 : x
  2. Step 2: Convert to fraction form
    299.08/449.01 = 281.26/x
  3. Step 3: Cross multiply
    299.08x = 449.01 × 281.26
  4. Step 4: Simplify right side
    299.08x = 126,288.55
  5. Step 5: Solve for x
    x = 126,288.55/299.08
  6. Step 6: Final answer
    x = 422.26

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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.