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Finding the Fourth Proportional to 416.36, 622.94 and 251.22

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Solution

The fourth proportional to 416.36, 622.94 and 251.22 is: 375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.36 : 622.94 = 251.22 : x
  2. Step 2: Convert to fraction form
    416.36/622.94 = 251.22/x
  3. Step 3: Cross multiply
    416.36x = 622.94 × 251.22
  4. Step 4: Simplify right side
    416.36x = 156,491.87
  5. Step 5: Solve for x
    x = 156,491.87/416.36
  6. Step 6: Final answer
    x = 375.86

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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.