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Finding the Fourth Proportional to 299.34, 449.01 and 275.85

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Solution

The fourth proportional to 299.34, 449.01 and 275.85 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 449.01 = 275.85 : x
  2. Step 2: Convert to fraction form
    299.34/449.01 = 275.85/x
  3. Step 3: Cross multiply
    299.34x = 449.01 × 275.85
  4. Step 4: Simplify right side
    299.34x = 123,859.41
  5. Step 5: Solve for x
    x = 123,859.41/299.34
  6. Step 6: Final answer
    x = 413.78

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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.