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Finding the Fourth Proportional to 599.82, 827.46 and 351.09

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Solution

The fourth proportional to 599.82, 827.46 and 351.09 is: 484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.82 : 827.46 = 351.09 : x
  2. Step 2: Convert to fraction form
    599.82/827.46 = 351.09/x
  3. Step 3: Cross multiply
    599.82x = 827.46 × 351.09
  4. Step 4: Simplify right side
    599.82x = 290,512.93
  5. Step 5: Solve for x
    x = 290,512.93/599.82
  6. Step 6: Final answer
    x = 484.33

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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.