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Finding the Fourth Proportional to 604.57, 834.46 and 342.74

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Solution

The fourth proportional to 604.57, 834.46 and 342.74 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.57 : 834.46 = 342.74 : x
  2. Step 2: Convert to fraction form
    604.57/834.46 = 342.74/x
  3. Step 3: Cross multiply
    604.57x = 834.46 × 342.74
  4. Step 4: Simplify right side
    604.57x = 285,997.79
  5. Step 5: Solve for x
    x = 285,997.79/604.57
  6. Step 6: Final answer
    x = 473.06

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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.