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Finding the Fourth Proportional to 412.53, 618.27 and 227.31

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Solution

The fourth proportional to 412.53, 618.27 and 227.31 is: 340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 618.27 = 227.31 : x
  2. Step 2: Convert to fraction form
    412.53/618.27 = 227.31/x
  3. Step 3: Cross multiply
    412.53x = 618.27 × 227.31
  4. Step 4: Simplify right side
    412.53x = 140,538.95
  5. Step 5: Solve for x
    x = 140,538.95/412.53
  6. Step 6: Final answer
    x = 340.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.