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Finding the Fourth Proportional to 600.14, 827.92 and 351.43

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Solution

The fourth proportional to 600.14, 827.92 and 351.43 is: 484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 827.92 = 351.43 : x
  2. Step 2: Convert to fraction form
    600.14/827.92 = 351.43/x
  3. Step 3: Cross multiply
    600.14x = 827.92 × 351.43
  4. Step 4: Simplify right side
    600.14x = 290,955.93
  5. Step 5: Solve for x
    x = 290,955.93/600.14
  6. Step 6: Final answer
    x = 484.81

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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.