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Finding the Fourth Proportional to 604.53, 834.33 and 342.56

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Solution

The fourth proportional to 604.53, 834.33 and 342.56 is: 472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.53 : 834.33 = 342.56 : x
  2. Step 2: Convert to fraction form
    604.53/834.33 = 342.56/x
  3. Step 3: Cross multiply
    604.53x = 834.33 × 342.56
  4. Step 4: Simplify right side
    604.53x = 285,811.46
  5. Step 5: Solve for x
    x = 285,811.46/604.53
  6. Step 6: Final answer
    x = 472.78

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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.