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Finding the Fourth Proportional to 600.96, 828.84 and 391.12

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Solution

The fourth proportional to 600.96, 828.84 and 391.12 is: 539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 828.84 = 391.12 : x
  2. Step 2: Convert to fraction form
    600.96/828.84 = 391.12/x
  3. Step 3: Cross multiply
    600.96x = 828.84 × 391.12
  4. Step 4: Simplify right side
    600.96x = 324,175.90
  5. Step 5: Solve for x
    x = 324,175.90/600.96
  6. Step 6: Final answer
    x = 539.43

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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.