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Finding the Fourth Proportional to 627.99, 941.77 and 217.02

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Solution

The fourth proportional to 627.99, 941.77 and 217.02 is: 325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.99 : 941.77 = 217.02 : x
  2. Step 2: Convert to fraction form
    627.99/941.77 = 217.02/x
  3. Step 3: Cross multiply
    627.99x = 941.77 × 217.02
  4. Step 4: Simplify right side
    627.99x = 204,382.93
  5. Step 5: Solve for x
    x = 204,382.93/627.99
  6. Step 6: Final answer
    x = 325.46

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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.