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Finding the Fourth Proportional to 604.56, 834.12 and 447.42

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Solution

The fourth proportional to 604.56, 834.12 and 447.42 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 834.12 = 447.42 : x
  2. Step 2: Convert to fraction form
    604.56/834.12 = 447.42/x
  3. Step 3: Cross multiply
    604.56x = 834.12 × 447.42
  4. Step 4: Simplify right side
    604.56x = 373,201.97
  5. Step 5: Solve for x
    x = 373,201.97/604.56
  6. Step 6: Final answer
    x = 617.31

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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.