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Finding the Fourth Proportional to 600.83, 829.14 and 338.85

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Solution

The fourth proportional to 600.83, 829.14 and 338.85 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.83 : 829.14 = 338.85 : x
  2. Step 2: Convert to fraction form
    600.83/829.14 = 338.85/x
  3. Step 3: Cross multiply
    600.83x = 829.14 × 338.85
  4. Step 4: Simplify right side
    600.83x = 280,952.82
  5. Step 5: Solve for x
    x = 280,952.82/600.83
  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.