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Finding the Fourth Proportional to 600.34, 828.38 and 338.34

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Solution

The fourth proportional to 600.34, 828.38 and 338.34 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.34 : 828.38 = 338.34 : x
  2. Step 2: Convert to fraction form
    600.34/828.38 = 338.34/x
  3. Step 3: Cross multiply
    600.34x = 828.38 × 338.34
  4. Step 4: Simplify right side
    600.34x = 280,274.09
  5. Step 5: Solve for x
    x = 280,274.09/600.34
  6. Step 6: Final answer
    x = 466.86

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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.