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Finding the Fourth Proportional to 573.38, 791.24 and 324.68

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Solution

The fourth proportional to 573.38, 791.24 and 324.68 is: 448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.38 : 791.24 = 324.68 : x
  2. Step 2: Convert to fraction form
    573.38/791.24 = 324.68/x
  3. Step 3: Cross multiply
    573.38x = 791.24 × 324.68
  4. Step 4: Simplify right side
    573.38x = 256,894.22
  5. Step 5: Solve for x
    x = 256,894.22/573.38
  6. Step 6: Final answer
    x = 448.04

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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.