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Finding the Fourth Proportional to 641.74, 961.93 and 271.75

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Solution

The fourth proportional to 641.74, 961.93 and 271.75 is: 407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.74 : 961.93 = 271.75 : x
  2. Step 2: Convert to fraction form
    641.74/961.93 = 271.75/x
  3. Step 3: Cross multiply
    641.74x = 961.93 × 271.75
  4. Step 4: Simplify right side
    641.74x = 261,404.48
  5. Step 5: Solve for x
    x = 261,404.48/641.74
  6. Step 6: Final answer
    x = 407.34

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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.