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Finding the Fourth Proportional to 399.09, 550.89 and 251.82

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Solution

The fourth proportional to 399.09, 550.89 and 251.82 is: 347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 550.89 = 251.82 : x
  2. Step 2: Convert to fraction form
    399.09/550.89 = 251.82/x
  3. Step 3: Cross multiply
    399.09x = 550.89 × 251.82
  4. Step 4: Simplify right side
    399.09x = 138,725.12
  5. Step 5: Solve for x
    x = 138,725.12/399.09
  6. Step 6: Final answer
    x = 347.60

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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.