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Finding the Fourth Proportional to 415.24, 622.94 and 171.79

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Solution

The fourth proportional to 415.24, 622.94 and 171.79 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 622.94 = 171.79 : x
  2. Step 2: Convert to fraction form
    415.24/622.94 = 171.79/x
  3. Step 3: Cross multiply
    415.24x = 622.94 × 171.79
  4. Step 4: Simplify right side
    415.24x = 107,012.45
  5. Step 5: Solve for x
    x = 107,012.45/415.24
  6. Step 6: Final answer
    x = 257.71

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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.