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Finding the Fourth Proportional to 627.16, 940.64 and 216.28

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Solution

The fourth proportional to 627.16, 940.64 and 216.28 is: 324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 940.64 = 216.28 : x
  2. Step 2: Convert to fraction form
    627.16/940.64 = 216.28/x
  3. Step 3: Cross multiply
    627.16x = 940.64 × 216.28
  4. Step 4: Simplify right side
    627.16x = 203,441.62
  5. Step 5: Solve for x
    x = 203,441.62/627.16
  6. Step 6: Final answer
    x = 324.39

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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.