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Finding the Fourth Proportional to 416.26, 625.41 and 262.50

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Solution

The fourth proportional to 416.26, 625.41 and 262.50 is: 394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.26 : 625.41 = 262.50 : x
  2. Step 2: Convert to fraction form
    416.26/625.41 = 262.50/x
  3. Step 3: Cross multiply
    416.26x = 625.41 × 262.50
  4. Step 4: Simplify right side
    416.26x = 164,170.13
  5. Step 5: Solve for x
    x = 164,170.13/416.26
  6. Step 6: Final answer
    x = 394.39

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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.