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Finding the Fourth Proportional to 600.11, 827.97 and 351.43

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Solution

The fourth proportional to 600.11, 827.97 and 351.43 is: 484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.11 : 827.97 = 351.43 : x
  2. Step 2: Convert to fraction form
    600.11/827.97 = 351.43/x
  3. Step 3: Cross multiply
    600.11x = 827.97 × 351.43
  4. Step 4: Simplify right side
    600.11x = 290,971.43
  5. Step 5: Solve for x
    x = 290,971.43/600.11
  6. Step 6: Final answer
    x = 484.86

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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.