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Finding the Fourth Proportional to 573.92, 791.94 and 337.80

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Solution

The fourth proportional to 573.92, 791.94 and 337.80 is: 466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.92 : 791.94 = 337.80 : x
  2. Step 2: Convert to fraction form
    573.92/791.94 = 337.80/x
  3. Step 3: Cross multiply
    573.92x = 791.94 × 337.80
  4. Step 4: Simplify right side
    573.92x = 267,517.33
  5. Step 5: Solve for x
    x = 267,517.33/573.92
  6. Step 6: Final answer
    x = 466.12

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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.