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Finding the Fourth Proportional to 412.58, 618.78 and 124.01

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Solution

The fourth proportional to 412.58, 618.78 and 124.01 is: 185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.58 : 618.78 = 124.01 : x
  2. Step 2: Convert to fraction form
    412.58/618.78 = 124.01/x
  3. Step 3: Cross multiply
    412.58x = 618.78 × 124.01
  4. Step 4: Simplify right side
    412.58x = 76,734.91
  5. Step 5: Solve for x
    x = 76,734.91/412.58
  6. Step 6: Final answer
    x = 185.99

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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.