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Finding the Fourth Proportional to 600.26, 827.34 and 423.29

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Solution

The fourth proportional to 600.26, 827.34 and 423.29 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.26 : 827.34 = 423.29 : x
  2. Step 2: Convert to fraction form
    600.26/827.34 = 423.29/x
  3. Step 3: Cross multiply
    600.26x = 827.34 × 423.29
  4. Step 4: Simplify right side
    600.26x = 350,204.75
  5. Step 5: Solve for x
    x = 350,204.75/600.26
  6. Step 6: Final answer
    x = 583.42

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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.