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Finding the Fourth Proportional to 573.92, 791.76 and 408.48

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Solution

The fourth proportional to 573.92, 791.76 and 408.48 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.92 : 791.76 = 408.48 : x
  2. Step 2: Convert to fraction form
    573.92/791.76 = 408.48/x
  3. Step 3: Cross multiply
    573.92x = 791.76 × 408.48
  4. Step 4: Simplify right side
    573.92x = 323,418.12
  5. Step 5: Solve for x
    x = 323,418.12/573.92
  6. Step 6: Final answer
    x = 563.52

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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.