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Finding the Fourth Proportional to 573.45, 791.37 and 324.75

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Solution

The fourth proportional to 573.45, 791.37 and 324.75 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 791.37 = 324.75 : x
  2. Step 2: Convert to fraction form
    573.45/791.37 = 324.75/x
  3. Step 3: Cross multiply
    573.45x = 791.37 × 324.75
  4. Step 4: Simplify right side
    573.45x = 256,997.41
  5. Step 5: Solve for x
    x = 256,997.41/573.45
  6. Step 6: Final answer
    x = 448.16

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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.