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Finding the Fourth Proportional to 414.50, 622.02 and 171.02

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Solution

The fourth proportional to 414.50, 622.02 and 171.02 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 622.02 = 171.02 : x
  2. Step 2: Convert to fraction form
    414.50/622.02 = 171.02/x
  3. Step 3: Cross multiply
    414.50x = 622.02 × 171.02
  4. Step 4: Simplify right side
    414.50x = 106,377.72
  5. Step 5: Solve for x
    x = 106,377.72/414.50
  6. Step 6: Final answer
    x = 256.64

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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.