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Finding the Fourth Proportional to 416.60, 625.26 and 243.44

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Solution

The fourth proportional to 416.60, 625.26 and 243.44 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.60 : 625.26 = 243.44 : x
  2. Step 2: Convert to fraction form
    416.60/625.26 = 243.44/x
  3. Step 3: Cross multiply
    416.60x = 625.26 × 243.44
  4. Step 4: Simplify right side
    416.60x = 152,213.29
  5. Step 5: Solve for x
    x = 152,213.29/416.60
  6. Step 6: Final answer
    x = 365.37

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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.