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Finding the Fourth Proportional to 641.71, 962.38 and 230.83

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Solution

The fourth proportional to 641.71, 962.38 and 230.83 is: 346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.71 : 962.38 = 230.83 : x
  2. Step 2: Convert to fraction form
    641.71/962.38 = 230.83/x
  3. Step 3: Cross multiply
    641.71x = 962.38 × 230.83
  4. Step 4: Simplify right side
    641.71x = 222,146.18
  5. Step 5: Solve for x
    x = 222,146.18/641.71
  6. Step 6: Final answer
    x = 346.18

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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.