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Finding the Fourth Proportional to 414.68, 622 and 171.38

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Solution

The fourth proportional to 414.68, 622 and 171.38 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 622 = 171.38 : x
  2. Step 2: Convert to fraction form
    414.68/622 = 171.38/x
  3. Step 3: Cross multiply
    414.68x = 622 × 171.38
  4. Step 4: Simplify right side
    414.68x = 106,598.36
  5. Step 5: Solve for x
    x = 106,598.36/414.68
  6. Step 6: Final answer
    x = 257.06

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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.