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Finding the Fourth Proportional to 286.86, 428.46 and 271.08

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Solution

The fourth proportional to 286.86, 428.46 and 271.08 is: 404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 428.46 = 271.08 : x
  2. Step 2: Convert to fraction form
    286.86/428.46 = 271.08/x
  3. Step 3: Cross multiply
    286.86x = 428.46 × 271.08
  4. Step 4: Simplify right side
    286.86x = 116,146.94
  5. Step 5: Solve for x
    x = 116,146.94/286.86
  6. Step 6: Final answer
    x = 404.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.