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Finding the Fourth Proportional to 641.82, 962.88 and 271.42

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Solution

The fourth proportional to 641.82, 962.88 and 271.42 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.82 : 962.88 = 271.42 : x
  2. Step 2: Convert to fraction form
    641.82/962.88 = 271.42/x
  3. Step 3: Cross multiply
    641.82x = 962.88 × 271.42
  4. Step 4: Simplify right side
    641.82x = 261,344.89
  5. Step 5: Solve for x
    x = 261,344.89/641.82
  6. Step 6: Final answer
    x = 407.19

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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.