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Finding the Fourth Proportional to 628.56, 943.08 and 195.72

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Solution

The fourth proportional to 628.56, 943.08 and 195.72 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 943.08 = 195.72 : x
  2. Step 2: Convert to fraction form
    628.56/943.08 = 195.72/x
  3. Step 3: Cross multiply
    628.56x = 943.08 × 195.72
  4. Step 4: Simplify right side
    628.56x = 184,579.62
  5. Step 5: Solve for x
    x = 184,579.62/628.56
  6. Step 6: Final answer
    x = 293.65

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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.