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Finding the Fourth Proportional to 600.80, 829.13 and 338.81

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Solution

The fourth proportional to 600.80, 829.13 and 338.81 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 829.13 = 338.81 : x
  2. Step 2: Convert to fraction form
    600.80/829.13 = 338.81/x
  3. Step 3: Cross multiply
    600.80x = 829.13 × 338.81
  4. Step 4: Simplify right side
    600.80x = 280,917.91
  5. Step 5: Solve for x
    x = 280,917.91/600.80
  6. Step 6: Final answer
    x = 467.58

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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.