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Finding the Fourth Proportional to 604.27, 833.93 and 338.73

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Solution

The fourth proportional to 604.27, 833.93 and 338.73 is: 467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.27 : 833.93 = 338.73 : x
  2. Step 2: Convert to fraction form
    604.27/833.93 = 338.73/x
  3. Step 3: Cross multiply
    604.27x = 833.93 × 338.73
  4. Step 4: Simplify right side
    604.27x = 282,475.42
  5. Step 5: Solve for x
    x = 282,475.42/604.27
  6. Step 6: Final answer
    x = 467.47

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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.