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Finding the Fourth Proportional to 366.95, 506.52 and 227.09

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Solution

The fourth proportional to 366.95, 506.52 and 227.09 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.95 : 506.52 = 227.09 : x
  2. Step 2: Convert to fraction form
    366.95/506.52 = 227.09/x
  3. Step 3: Cross multiply
    366.95x = 506.52 × 227.09
  4. Step 4: Simplify right side
    366.95x = 115,023.09
  5. Step 5: Solve for x
    x = 115,023.09/366.95
  6. Step 6: Final answer
    x = 313.46

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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.