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Finding the Fourth Proportional to 628.11, 942.27 and 217.32

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Solution

The fourth proportional to 628.11, 942.27 and 217.32 is: 326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 942.27 = 217.32 : x
  2. Step 2: Convert to fraction form
    628.11/942.27 = 217.32/x
  3. Step 3: Cross multiply
    628.11x = 942.27 × 217.32
  4. Step 4: Simplify right side
    628.11x = 204,774.12
  5. Step 5: Solve for x
    x = 204,774.12/628.11
  6. Step 6: Final answer
    x = 326.02

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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.