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Finding the Fourth Proportional to 415.76, 622.56 and 271.04

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Solution

The fourth proportional to 415.76, 622.56 and 271.04 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 622.56 = 271.04 : x
  2. Step 2: Convert to fraction form
    415.76/622.56 = 271.04/x
  3. Step 3: Cross multiply
    415.76x = 622.56 × 271.04
  4. Step 4: Simplify right side
    415.76x = 168,738.66
  5. Step 5: Solve for x
    x = 168,738.66/415.76
  6. Step 6: Final answer
    x = 405.86

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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.