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Finding the Fourth Proportional to 641.53, 962.39 and 230.79

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Solution

The fourth proportional to 641.53, 962.39 and 230.79 is: 346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.53 : 962.39 = 230.79 : x
  2. Step 2: Convert to fraction form
    641.53/962.39 = 230.79/x
  3. Step 3: Cross multiply
    641.53x = 962.39 × 230.79
  4. Step 4: Simplify right side
    641.53x = 222,110.57
  5. Step 5: Solve for x
    x = 222,110.57/641.53
  6. Step 6: Final answer
    x = 346.22

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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.