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Finding the Fourth Proportional to 600.26, 828.35 and 338.27

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Solution

The fourth proportional to 600.26, 828.35 and 338.27 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.26 : 828.35 = 338.27 : x
  2. Step 2: Convert to fraction form
    600.26/828.35 = 338.27/x
  3. Step 3: Cross multiply
    600.26x = 828.35 × 338.27
  4. Step 4: Simplify right side
    600.26x = 280,205.95
  5. Step 5: Solve for x
    x = 280,205.95/600.26
  6. Step 6: Final answer
    x = 466.81

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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.