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Finding the Fourth Proportional to 604.49, 834.17 and 338.91

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Solution

The fourth proportional to 604.49, 834.17 and 338.91 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 834.17 = 338.91 : x
  2. Step 2: Convert to fraction form
    604.49/834.17 = 338.91/x
  3. Step 3: Cross multiply
    604.49x = 834.17 × 338.91
  4. Step 4: Simplify right side
    604.49x = 282,709.99
  5. Step 5: Solve for x
    x = 282,709.99/604.49
  6. Step 6: Final answer
    x = 467.68

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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.