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Finding the Fourth Proportional to 604.63, 834.39 and 342.65

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Solution

The fourth proportional to 604.63, 834.39 and 342.65 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.63 : 834.39 = 342.65 : x
  2. Step 2: Convert to fraction form
    604.63/834.39 = 342.65/x
  3. Step 3: Cross multiply
    604.63x = 834.39 × 342.65
  4. Step 4: Simplify right side
    604.63x = 285,903.73
  5. Step 5: Solve for x
    x = 285,903.73/604.63
  6. Step 6: Final answer
    x = 472.86

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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.