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Finding the Fourth Proportional to 600.71, 829.02 and 338.73

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Solution

The fourth proportional to 600.71, 829.02 and 338.73 is: 467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.71 : 829.02 = 338.73 : x
  2. Step 2: Convert to fraction form
    600.71/829.02 = 338.73/x
  3. Step 3: Cross multiply
    600.71x = 829.02 × 338.73
  4. Step 4: Simplify right side
    600.71x = 280,813.94
  5. Step 5: Solve for x
    x = 280,813.94/600.71
  6. Step 6: Final answer
    x = 467.47

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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.