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Finding the Fourth Proportional to 628.21, 941.98 and 217.23

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Solution

The fourth proportional to 628.21, 941.98 and 217.23 is: 325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.21 : 941.98 = 217.23 : x
  2. Step 2: Convert to fraction form
    628.21/941.98 = 217.23/x
  3. Step 3: Cross multiply
    628.21x = 941.98 × 217.23
  4. Step 4: Simplify right side
    628.21x = 204,627.95
  5. Step 5: Solve for x
    x = 204,627.95/628.21
  6. Step 6: Final answer
    x = 325.73

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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.