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Finding the Fourth Proportional to 414.84, 622.38 and 171.42

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Solution

The fourth proportional to 414.84, 622.38 and 171.42 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 622.38 = 171.42 : x
  2. Step 2: Convert to fraction form
    414.84/622.38 = 171.42/x
  3. Step 3: Cross multiply
    414.84x = 622.38 × 171.42
  4. Step 4: Simplify right side
    414.84x = 106,688.38
  5. Step 5: Solve for x
    x = 106,688.38/414.84
  6. Step 6: Final answer
    x = 257.18

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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.