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Finding the Fourth Proportional to 641.17, 962.02 and 271.07

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Solution

The fourth proportional to 641.17, 962.02 and 271.07 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.17 : 962.02 = 271.07 : x
  2. Step 2: Convert to fraction form
    641.17/962.02 = 271.07/x
  3. Step 3: Cross multiply
    641.17x = 962.02 × 271.07
  4. Step 4: Simplify right side
    641.17x = 260,769.27
  5. Step 5: Solve for x
    x = 260,769.27/641.17
  6. Step 6: Final answer
    x = 406.71

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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.