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Finding the Fourth Proportional to 416.54, 625.41 and 254.94

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Solution

The fourth proportional to 416.54, 625.41 and 254.94 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 625.41 = 254.94 : x
  2. Step 2: Convert to fraction form
    416.54/625.41 = 254.94/x
  3. Step 3: Cross multiply
    416.54x = 625.41 × 254.94
  4. Step 4: Simplify right side
    416.54x = 159,442.03
  5. Step 5: Solve for x
    x = 159,442.03/416.54
  6. Step 6: Final answer
    x = 382.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.