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Finding the Fourth Proportional to 600.67, 829 and 338.71

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Solution

The fourth proportional to 600.67, 829 and 338.71 is: 467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.67 : 829 = 338.71 : x
  2. Step 2: Convert to fraction form
    600.67/829 = 338.71/x
  3. Step 3: Cross multiply
    600.67x = 829 × 338.71
  4. Step 4: Simplify right side
    600.67x = 280,786.45
  5. Step 5: Solve for x
    x = 280,786.45/600.67
  6. Step 6: Final answer
    x = 467.46

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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.