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Finding the Fourth Proportional to 600.85, 829.11 and 338.86

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Solution

The fourth proportional to 600.85, 829.11 and 338.86 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.85 : 829.11 = 338.86 : x
  2. Step 2: Convert to fraction form
    600.85/829.11 = 338.86/x
  3. Step 3: Cross multiply
    600.85x = 829.11 × 338.86
  4. Step 4: Simplify right side
    600.85x = 280,952.21
  5. Step 5: Solve for x
    x = 280,952.21/600.85
  6. Step 6: Final answer
    x = 467.59

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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.