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Finding the Fourth Proportional to 628.02, 942.12 and 217.26

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Solution

The fourth proportional to 628.02, 942.12 and 217.26 is: 325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 942.12 = 217.26 : x
  2. Step 2: Convert to fraction form
    628.02/942.12 = 217.26/x
  3. Step 3: Cross multiply
    628.02x = 942.12 × 217.26
  4. Step 4: Simplify right side
    628.02x = 204,684.99
  5. Step 5: Solve for x
    x = 204,684.99/628.02
  6. Step 6: Final answer
    x = 325.92

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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.