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Finding the Fourth Proportional to 627.63, 941.61 and 216.80

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Solution

The fourth proportional to 627.63, 941.61 and 216.80 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.63 : 941.61 = 216.80 : x
  2. Step 2: Convert to fraction form
    627.63/941.61 = 216.80/x
  3. Step 3: Cross multiply
    627.63x = 941.61 × 216.80
  4. Step 4: Simplify right side
    627.63x = 204,141.05
  5. Step 5: Solve for x
    x = 204,141.05/627.63
  6. Step 6: Final answer
    x = 325.26

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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.