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Finding the Fourth Proportional to 628.95, 943.15 and 196.14

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Solution

The fourth proportional to 628.95, 943.15 and 196.14 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.95 : 943.15 = 196.14 : x
  2. Step 2: Convert to fraction form
    628.95/943.15 = 196.14/x
  3. Step 3: Cross multiply
    628.95x = 943.15 × 196.14
  4. Step 4: Simplify right side
    628.95x = 184,989.44
  5. Step 5: Solve for x
    x = 184,989.44/628.95
  6. Step 6: Final answer
    x = 294.12

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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.