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Finding the Fourth Proportional to 600.39, 828.42 and 338.34

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Solution

The fourth proportional to 600.39, 828.42 and 338.34 is: 466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.39 : 828.42 = 338.34 : x
  2. Step 2: Convert to fraction form
    600.39/828.42 = 338.34/x
  3. Step 3: Cross multiply
    600.39x = 828.42 × 338.34
  4. Step 4: Simplify right side
    600.39x = 280,287.62
  5. Step 5: Solve for x
    x = 280,287.62/600.39
  6. Step 6: Final answer
    x = 466.84

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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.