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Finding the Fourth Proportional to 641.67, 962.52 and 230.84

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Solution

The fourth proportional to 641.67, 962.52 and 230.84 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 962.52 = 230.84 : x
  2. Step 2: Convert to fraction form
    641.67/962.52 = 230.84/x
  3. Step 3: Cross multiply
    641.67x = 962.52 × 230.84
  4. Step 4: Simplify right side
    641.67x = 222,191.46
  5. Step 5: Solve for x
    x = 222,191.46/641.67
  6. Step 6: Final answer
    x = 346.27

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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.