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Finding the Fourth Proportional to 641.50, 962.31 and 208.54

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Solution

The fourth proportional to 641.50, 962.31 and 208.54 is: 312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.50 : 962.31 = 208.54 : x
  2. Step 2: Convert to fraction form
    641.50/962.31 = 208.54/x
  3. Step 3: Cross multiply
    641.50x = 962.31 × 208.54
  4. Step 4: Simplify right side
    641.50x = 200,680.13
  5. Step 5: Solve for x
    x = 200,680.13/641.50
  6. Step 6: Final answer
    x = 312.83

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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.