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Finding the Fourth Proportional to 604.74, 834.42 and 342.71

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Solution

The fourth proportional to 604.74, 834.42 and 342.71 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.74 : 834.42 = 342.71 : x
  2. Step 2: Convert to fraction form
    604.74/834.42 = 342.71/x
  3. Step 3: Cross multiply
    604.74x = 834.42 × 342.71
  4. Step 4: Simplify right side
    604.74x = 285,964.08
  5. Step 5: Solve for x
    x = 285,964.08/604.74
  6. Step 6: Final answer
    x = 472.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.