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Finding the Fourth Proportional to 685.42, 1,028.19 and 223.18

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Solution

The fourth proportional to 685.42, 1,028.19 and 223.18 is: 334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 1,028.19 = 223.18 : x
  2. Step 2: Convert to fraction form
    685.42/1,028.19 = 223.18/x
  3. Step 3: Cross multiply
    685.42x = 1,028.19 × 223.18
  4. Step 4: Simplify right side
    685.42x = 229,471.44
  5. Step 5: Solve for x
    x = 229,471.44/685.42
  6. Step 6: Final answer
    x = 334.79

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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.