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Finding the Fourth Proportional to 573.31, 791.22 and 398.35

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Solution

The fourth proportional to 573.31, 791.22 and 398.35 is: 549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.31 : 791.22 = 398.35 : x
  2. Step 2: Convert to fraction form
    573.31/791.22 = 398.35/x
  3. Step 3: Cross multiply
    573.31x = 791.22 × 398.35
  4. Step 4: Simplify right side
    573.31x = 315,182.49
  5. Step 5: Solve for x
    x = 315,182.49/573.31
  6. Step 6: Final answer
    x = 549.76

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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.