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Finding the Fourth Proportional to 600.38, 828.56 and 338.42

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Solution

The fourth proportional to 600.38, 828.56 and 338.42 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.38 : 828.56 = 338.42 : x
  2. Step 2: Convert to fraction form
    600.38/828.56 = 338.42/x
  3. Step 3: Cross multiply
    600.38x = 828.56 × 338.42
  4. Step 4: Simplify right side
    600.38x = 280,401.28
  5. Step 5: Solve for x
    x = 280,401.28/600.38
  6. Step 6: Final answer
    x = 467.04

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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.