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Finding the Fourth Proportional to 416.83, 625.11 and 173.29

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Solution

The fourth proportional to 416.83, 625.11 and 173.29 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.83 : 625.11 = 173.29 : x
  2. Step 2: Convert to fraction form
    416.83/625.11 = 173.29/x
  3. Step 3: Cross multiply
    416.83x = 625.11 × 173.29
  4. Step 4: Simplify right side
    416.83x = 108,325.31
  5. Step 5: Solve for x
    x = 108,325.31/416.83
  6. Step 6: Final answer
    x = 259.88

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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.