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Finding the Fourth Proportional to 600.82, 829.10 and 338.86

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Solution

The fourth proportional to 600.82, 829.10 and 338.86 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 829.10 = 338.86 : x
  2. Step 2: Convert to fraction form
    600.82/829.10 = 338.86/x
  3. Step 3: Cross multiply
    600.82x = 829.10 × 338.86
  4. Step 4: Simplify right side
    600.82x = 280,948.83
  5. Step 5: Solve for x
    x = 280,948.83/600.82
  6. Step 6: Final answer
    x = 467.61

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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.