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Finding the Fourth Proportional to 573.56, 791.76 and 363.92

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Solution

The fourth proportional to 573.56, 791.76 and 363.92 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.56 : 791.76 = 363.92 : x
  2. Step 2: Convert to fraction form
    573.56/791.76 = 363.92/x
  3. Step 3: Cross multiply
    573.56x = 791.76 × 363.92
  4. Step 4: Simplify right side
    573.56x = 288,137.30
  5. Step 5: Solve for x
    x = 288,137.30/573.56
  6. Step 6: Final answer
    x = 502.37

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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.