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Finding the Fourth Proportional to 683.79, 1,025.15 and 221.28

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Solution

The fourth proportional to 683.79, 1,025.15 and 221.28 is: 331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.79 : 1,025.15 = 221.28 : x
  2. Step 2: Convert to fraction form
    683.79/1,025.15 = 221.28/x
  3. Step 3: Cross multiply
    683.79x = 1,025.15 × 221.28
  4. Step 4: Simplify right side
    683.79x = 226,844.09
  5. Step 5: Solve for x
    x = 226,844.09/683.79
  6. Step 6: Final answer
    x = 331.75

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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.