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Finding the Fourth Proportional to 627.37, 941.15 and 194.56

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Solution

The fourth proportional to 627.37, 941.15 and 194.56 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.37 : 941.15 = 194.56 : x
  2. Step 2: Convert to fraction form
    627.37/941.15 = 194.56/x
  3. Step 3: Cross multiply
    627.37x = 941.15 × 194.56
  4. Step 4: Simplify right side
    627.37x = 183,110.14
  5. Step 5: Solve for x
    x = 183,110.14/627.37
  6. Step 6: Final answer
    x = 291.87

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