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Finding the Fourth Proportional to 573.41, 791.37 and 324.78

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Solution

The fourth proportional to 573.41, 791.37 and 324.78 is: 448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.41 : 791.37 = 324.78 : x
  2. Step 2: Convert to fraction form
    573.41/791.37 = 324.78/x
  3. Step 3: Cross multiply
    573.41x = 791.37 × 324.78
  4. Step 4: Simplify right side
    573.41x = 257,021.15
  5. Step 5: Solve for x
    x = 257,021.15/573.41
  6. Step 6: Final answer
    x = 448.24

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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.