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Finding the Fourth Proportional to 494.39, 739.87 and 299.27

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Solution

The fourth proportional to 494.39, 739.87 and 299.27 is: 447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 739.87 = 299.27 : x
  2. Step 2: Convert to fraction form
    494.39/739.87 = 299.27/x
  3. Step 3: Cross multiply
    494.39x = 739.87 × 299.27
  4. Step 4: Simplify right side
    494.39x = 221,422.00
  5. Step 5: Solve for x
    x = 221,422.00/494.39
  6. Step 6: Final answer
    x = 447.87

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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.