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Finding the Fourth Proportional to 412.53, 618.78 and 123.96

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Solution

The fourth proportional to 412.53, 618.78 and 123.96 is: 185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 618.78 = 123.96 : x
  2. Step 2: Convert to fraction form
    412.53/618.78 = 123.96/x
  3. Step 3: Cross multiply
    412.53x = 618.78 × 123.96
  4. Step 4: Simplify right side
    412.53x = 76,706.75
  5. Step 5: Solve for x
    x = 76,706.75/412.53
  6. Step 6: Final answer
    x = 185.94

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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.