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Finding the Fourth Proportional to 399.06, 550.78 and 249.78

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Solution

The fourth proportional to 399.06, 550.78 and 249.78 is: 344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.06 : 550.78 = 249.78 : x
  2. Step 2: Convert to fraction form
    399.06/550.78 = 249.78/x
  3. Step 3: Cross multiply
    399.06x = 550.78 × 249.78
  4. Step 4: Simplify right side
    399.06x = 137,573.83
  5. Step 5: Solve for x
    x = 137,573.83/399.06
  6. Step 6: Final answer
    x = 344.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.