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Finding the Fourth Proportional to 412.56, 618.44 and 138.51

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Solution

The fourth proportional to 412.56, 618.44 and 138.51 is: 207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 618.44 = 138.51 : x
  2. Step 2: Convert to fraction form
    412.56/618.44 = 138.51/x
  3. Step 3: Cross multiply
    412.56x = 618.44 × 138.51
  4. Step 4: Simplify right side
    412.56x = 85,659.43
  5. Step 5: Solve for x
    x = 85,659.43/412.56
  6. Step 6: Final answer
    x = 207.63

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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.