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Finding the Fourth Proportional to 628.16, 942.30 and 217.28

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Solution

The fourth proportional to 628.16, 942.30 and 217.28 is: 325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 942.30 = 217.28 : x
  2. Step 2: Convert to fraction form
    628.16/942.30 = 217.28/x
  3. Step 3: Cross multiply
    628.16x = 942.30 × 217.28
  4. Step 4: Simplify right side
    628.16x = 204,745.30
  5. Step 5: Solve for x
    x = 204,745.30/628.16
  6. Step 6: Final answer
    x = 325.95

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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.