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Finding the Fourth Proportional to 627.31, 940.97 and 216.44

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Solution

The fourth proportional to 627.31, 940.97 and 216.44 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.31 : 940.97 = 216.44 : x
  2. Step 2: Convert to fraction form
    627.31/940.97 = 216.44/x
  3. Step 3: Cross multiply
    627.31x = 940.97 × 216.44
  4. Step 4: Simplify right side
    627.31x = 203,663.55
  5. Step 5: Solve for x
    x = 203,663.55/627.31
  6. Step 6: Final answer
    x = 324.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.