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Finding the Fourth Proportional to 604.49, 834.26 and 342.53

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Solution

The fourth proportional to 604.49, 834.26 and 342.53 is: 472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 834.26 = 342.53 : x
  2. Step 2: Convert to fraction form
    604.49/834.26 = 342.53/x
  3. Step 3: Cross multiply
    604.49x = 834.26 × 342.53
  4. Step 4: Simplify right side
    604.49x = 285,754.91
  5. Step 5: Solve for x
    x = 285,754.91/604.49
  6. Step 6: Final answer
    x = 472.72

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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.