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Finding the Fourth Proportional to 604.48, 834.26 and 338.94

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Solution

The fourth proportional to 604.48, 834.26 and 338.94 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 834.26 = 338.94 : x
  2. Step 2: Convert to fraction form
    604.48/834.26 = 338.94/x
  3. Step 3: Cross multiply
    604.48x = 834.26 × 338.94
  4. Step 4: Simplify right side
    604.48x = 282,764.08
  5. Step 5: Solve for x
    x = 282,764.08/604.48
  6. Step 6: Final answer
    x = 467.78

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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.