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Finding the Fourth Proportional to 299.20, 449.49 and 278.68

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Solution

The fourth proportional to 299.20, 449.49 and 278.68 is: 418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 449.49 = 278.68 : x
  2. Step 2: Convert to fraction form
    299.20/449.49 = 278.68/x
  3. Step 3: Cross multiply
    299.20x = 449.49 × 278.68
  4. Step 4: Simplify right side
    299.20x = 125,263.87
  5. Step 5: Solve for x
    x = 125,263.87/299.20
  6. Step 6: Final answer
    x = 418.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.