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Finding the Fourth Proportional to 600.78, 829.13 and 338.84

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Solution

The fourth proportional to 600.78, 829.13 and 338.84 is: 467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 829.13 = 338.84 : x
  2. Step 2: Convert to fraction form
    600.78/829.13 = 338.84/x
  3. Step 3: Cross multiply
    600.78x = 829.13 × 338.84
  4. Step 4: Simplify right side
    600.78x = 280,936.57
  5. Step 5: Solve for x
    x = 280,936.57/600.78
  6. Step 6: Final answer
    x = 467.62

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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.