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Finding the Fourth Proportional to 299.89, 447.78 and 268.84

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Solution

The fourth proportional to 299.89, 447.78 and 268.84 is: 401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.89 : 447.78 = 268.84 : x
  2. Step 2: Convert to fraction form
    299.89/447.78 = 268.84/x
  3. Step 3: Cross multiply
    299.89x = 447.78 × 268.84
  4. Step 4: Simplify right side
    299.89x = 120,381.18
  5. Step 5: Solve for x
    x = 120,381.18/299.89
  6. Step 6: Final answer
    x = 401.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.