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Finding the Fourth Proportional to 604.34, 834.06 and 338.83

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Solution

The fourth proportional to 604.34, 834.06 and 338.83 is: 467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.34 : 834.06 = 338.83 : x
  2. Step 2: Convert to fraction form
    604.34/834.06 = 338.83/x
  3. Step 3: Cross multiply
    604.34x = 834.06 × 338.83
  4. Step 4: Simplify right side
    604.34x = 282,601.83
  5. Step 5: Solve for x
    x = 282,601.83/604.34
  6. Step 6: Final answer
    x = 467.62

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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.