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Finding the Fourth Proportional to 604.57, 906.83 and 193.73

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Solution

The fourth proportional to 604.57, 906.83 and 193.73 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.57 : 906.83 = 193.73 : x
  2. Step 2: Convert to fraction form
    604.57/906.83 = 193.73/x
  3. Step 3: Cross multiply
    604.57x = 906.83 × 193.73
  4. Step 4: Simplify right side
    604.57x = 175,680.18
  5. Step 5: Solve for x
    x = 175,680.18/604.57
  6. Step 6: Final answer
    x = 290.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.