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Finding the Fourth Proportional to 412.59, 618.87 and 104.44

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Solution

The fourth proportional to 412.59, 618.87 and 104.44 is: 156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 618.87 = 104.44 : x
  2. Step 2: Convert to fraction form
    412.59/618.87 = 104.44/x
  3. Step 3: Cross multiply
    412.59x = 618.87 × 104.44
  4. Step 4: Simplify right side
    412.59x = 64,634.78
  5. Step 5: Solve for x
    x = 64,634.78/412.59
  6. Step 6: Final answer
    x = 156.66

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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.