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Finding the Fourth Proportional to 600.68, 829.22 and 351.97

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Solution

The fourth proportional to 600.68, 829.22 and 351.97 is: 485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.68 : 829.22 = 351.97 : x
  2. Step 2: Convert to fraction form
    600.68/829.22 = 351.97/x
  3. Step 3: Cross multiply
    600.68x = 829.22 × 351.97
  4. Step 4: Simplify right side
    600.68x = 291,854.66
  5. Step 5: Solve for x
    x = 291,854.66/600.68
  6. Step 6: Final answer
    x = 485.87

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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.