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Finding the Fourth Proportional to 604.87, 834.39 and 394.78

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Solution

The fourth proportional to 604.87, 834.39 and 394.78 is: 544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.87 : 834.39 = 394.78 : x
  2. Step 2: Convert to fraction form
    604.87/834.39 = 394.78/x
  3. Step 3: Cross multiply
    604.87x = 834.39 × 394.78
  4. Step 4: Simplify right side
    604.87x = 329,400.48
  5. Step 5: Solve for x
    x = 329,400.48/604.87
  6. Step 6: Final answer
    x = 544.58

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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.