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Finding the Fourth Proportional to 416.61, 625.10 and 173.43

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Solution

The fourth proportional to 416.61, 625.10 and 173.43 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 625.10 = 173.43 : x
  2. Step 2: Convert to fraction form
    416.61/625.10 = 173.43/x
  3. Step 3: Cross multiply
    416.61x = 625.10 × 173.43
  4. Step 4: Simplify right side
    416.61x = 108,410.23
  5. Step 5: Solve for x
    x = 108,410.23/416.61
  6. Step 6: Final answer
    x = 260.22

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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.