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Finding the Fourth Proportional to 573.26, 791.30 and 363.80

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Solution

The fourth proportional to 573.26, 791.30 and 363.80 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.26 : 791.30 = 363.80 : x
  2. Step 2: Convert to fraction form
    573.26/791.30 = 363.80/x
  3. Step 3: Cross multiply
    573.26x = 791.30 × 363.80
  4. Step 4: Simplify right side
    573.26x = 287,874.94
  5. Step 5: Solve for x
    x = 287,874.94/573.26
  6. Step 6: Final answer
    x = 502.17

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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.