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Finding the Fourth Proportional to 299.41, 414.95 and 294.85

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Solution

The fourth proportional to 299.41, 414.95 and 294.85 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 414.95 = 294.85 : x
  2. Step 2: Convert to fraction form
    299.41/414.95 = 294.85/x
  3. Step 3: Cross multiply
    299.41x = 414.95 × 294.85
  4. Step 4: Simplify right side
    299.41x = 122,348.01
  5. Step 5: Solve for x
    x = 122,348.01/299.41
  6. Step 6: Final answer
    x = 408.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.