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Finding the Fourth Proportional to 414.63, 622.37 and 171.31

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Solution

The fourth proportional to 414.63, 622.37 and 171.31 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 622.37 = 171.31 : x
  2. Step 2: Convert to fraction form
    414.63/622.37 = 171.31/x
  3. Step 3: Cross multiply
    414.63x = 622.37 × 171.31
  4. Step 4: Simplify right side
    414.63x = 106,618.20
  5. Step 5: Solve for x
    x = 106,618.20/414.63
  6. Step 6: Final answer
    x = 257.14

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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.