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Finding the Fourth Proportional to 604.57, 834.25 and 408.35

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Solution

The fourth proportional to 604.57, 834.25 and 408.35 is: 563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.57 : 834.25 = 408.35 : x
  2. Step 2: Convert to fraction form
    604.57/834.25 = 408.35/x
  3. Step 3: Cross multiply
    604.57x = 834.25 × 408.35
  4. Step 4: Simplify right side
    604.57x = 340,665.99
  5. Step 5: Solve for x
    x = 340,665.99/604.57
  6. Step 6: Final answer
    x = 563.48

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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.