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Finding the Fourth Proportional to 641.75, 962.62 and 202.97

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Solution

The fourth proportional to 641.75, 962.62 and 202.97 is: 304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.75 : 962.62 = 202.97 : x
  2. Step 2: Convert to fraction form
    641.75/962.62 = 202.97/x
  3. Step 3: Cross multiply
    641.75x = 962.62 × 202.97
  4. Step 4: Simplify right side
    641.75x = 195,384.88
  5. Step 5: Solve for x
    x = 195,384.88/641.75
  6. Step 6: Final answer
    x = 304.46

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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.