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Finding the Fourth Proportional to 573.78, 791.84 and 325.09

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Solution

The fourth proportional to 573.78, 791.84 and 325.09 is: 448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.78 : 791.84 = 325.09 : x
  2. Step 2: Convert to fraction form
    573.78/791.84 = 325.09/x
  3. Step 3: Cross multiply
    573.78x = 791.84 × 325.09
  4. Step 4: Simplify right side
    573.78x = 257,422.48
  5. Step 5: Solve for x
    x = 257,422.48/573.78
  6. Step 6: Final answer
    x = 448.64

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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.