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Finding the Fourth Proportional to 628.93, 943.40 and 196.09

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Solution

The fourth proportional to 628.93, 943.40 and 196.09 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.93 : 943.40 = 196.09 : x
  2. Step 2: Convert to fraction form
    628.93/943.40 = 196.09/x
  3. Step 3: Cross multiply
    628.93x = 943.40 × 196.09
  4. Step 4: Simplify right side
    628.93x = 184,991.31
  5. Step 5: Solve for x
    x = 184,991.31/628.93
  6. Step 6: Final answer
    x = 294.14

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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.