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Finding the Fourth Proportional to 416.88, 625.36 and 224.48

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Solution

The fourth proportional to 416.88, 625.36 and 224.48 is: 336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 625.36 = 224.48 : x
  2. Step 2: Convert to fraction form
    416.88/625.36 = 224.48/x
  3. Step 3: Cross multiply
    416.88x = 625.36 × 224.48
  4. Step 4: Simplify right side
    416.88x = 140,380.81
  5. Step 5: Solve for x
    x = 140,380.81/416.88
  6. Step 6: Final answer
    x = 336.74

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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.