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Finding the Fourth Proportional to 366.88, 506.27 and 219.43

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Solution

The fourth proportional to 366.88, 506.27 and 219.43 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.88 : 506.27 = 219.43 : x
  2. Step 2: Convert to fraction form
    366.88/506.27 = 219.43/x
  3. Step 3: Cross multiply
    366.88x = 506.27 × 219.43
  4. Step 4: Simplify right side
    366.88x = 111,087.20
  5. Step 5: Solve for x
    x = 111,087.20/366.88
  6. Step 6: Final answer
    x = 302.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.