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Finding the Fourth Proportional to 428.25, 641.97 and 265.44

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Solution

The fourth proportional to 428.25, 641.97 and 265.44 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 641.97 = 265.44 : x
  2. Step 2: Convert to fraction form
    428.25/641.97 = 265.44/x
  3. Step 3: Cross multiply
    428.25x = 641.97 × 265.44
  4. Step 4: Simplify right side
    428.25x = 170,404.52
  5. Step 5: Solve for x
    x = 170,404.52/428.25
  6. Step 6: Final answer
    x = 397.91

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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.