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Finding the Fourth Proportional to 412.19, 618.38 and 123.63

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Solution

The fourth proportional to 412.19, 618.38 and 123.63 is: 185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 618.38 = 123.63 : x
  2. Step 2: Convert to fraction form
    412.19/618.38 = 123.63/x
  3. Step 3: Cross multiply
    412.19x = 618.38 × 123.63
  4. Step 4: Simplify right side
    412.19x = 76,450.32
  5. Step 5: Solve for x
    x = 76,450.32/412.19
  6. Step 6: Final answer
    x = 185.47

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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.