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Finding the Fourth Proportional to 641.65, 962.22 and 230.65

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Solution

The fourth proportional to 641.65, 962.22 and 230.65 is: 345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.65 : 962.22 = 230.65 : x
  2. Step 2: Convert to fraction form
    641.65/962.22 = 230.65/x
  3. Step 3: Cross multiply
    641.65x = 962.22 × 230.65
  4. Step 4: Simplify right side
    641.65x = 221,936.04
  5. Step 5: Solve for x
    x = 221,936.04/641.65
  6. Step 6: Final answer
    x = 345.88

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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.