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Finding the Fourth Proportional to 641.97, 962.97 and 203.20

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Solution

The fourth proportional to 641.97, 962.97 and 203.20 is: 304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 962.97 = 203.20 : x
  2. Step 2: Convert to fraction form
    641.97/962.97 = 203.20/x
  3. Step 3: Cross multiply
    641.97x = 962.97 × 203.20
  4. Step 4: Simplify right side
    641.97x = 195,677.75
  5. Step 5: Solve for x
    x = 195,677.75/641.97
  6. Step 6: Final answer
    x = 304.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.