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Finding the Fourth Proportional to 600.95, 829.31 and 338.97

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Solution

The fourth proportional to 600.95, 829.31 and 338.97 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.95 : 829.31 = 338.97 : x
  2. Step 2: Convert to fraction form
    600.95/829.31 = 338.97/x
  3. Step 3: Cross multiply
    600.95x = 829.31 × 338.97
  4. Step 4: Simplify right side
    600.95x = 281,107.91
  5. Step 5: Solve for x
    x = 281,107.91/600.95
  6. Step 6: Final answer
    x = 467.78

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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.