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Finding the Fourth Proportional to 421.11, 580.89 and 271.71

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Solution

The fourth proportional to 421.11, 580.89 and 271.71 is: 374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.11 : 580.89 = 271.71 : x
  2. Step 2: Convert to fraction form
    421.11/580.89 = 271.71/x
  3. Step 3: Cross multiply
    421.11x = 580.89 × 271.71
  4. Step 4: Simplify right side
    421.11x = 157,833.62
  5. Step 5: Solve for x
    x = 157,833.62/421.11
  6. Step 6: Final answer
    x = 374.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.