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Finding the Fourth Proportional to 600.80, 829.07 and 338.82

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Solution

The fourth proportional to 600.80, 829.07 and 338.82 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 829.07 = 338.82 : x
  2. Step 2: Convert to fraction form
    600.80/829.07 = 338.82/x
  3. Step 3: Cross multiply
    600.80x = 829.07 × 338.82
  4. Step 4: Simplify right side
    600.80x = 280,905.50
  5. Step 5: Solve for x
    x = 280,905.50/600.80
  6. Step 6: Final answer
    x = 467.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.