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Finding the Fourth Proportional to 573.25, 791.41 and 398.83

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Solution

The fourth proportional to 573.25, 791.41 and 398.83 is: 550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.25 : 791.41 = 398.83 : x
  2. Step 2: Convert to fraction form
    573.25/791.41 = 398.83/x
  3. Step 3: Cross multiply
    573.25x = 791.41 × 398.83
  4. Step 4: Simplify right side
    573.25x = 315,634.09
  5. Step 5: Solve for x
    x = 315,634.09/573.25
  6. Step 6: Final answer
    x = 550.61

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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.