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Finding the Fourth Proportional to 641.98, 962.38 and 231.02

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Solution

The fourth proportional to 641.98, 962.38 and 231.02 is: 346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 962.38 = 231.02 : x
  2. Step 2: Convert to fraction form
    641.98/962.38 = 231.02/x
  3. Step 3: Cross multiply
    641.98x = 962.38 × 231.02
  4. Step 4: Simplify right side
    641.98x = 222,329.03
  5. Step 5: Solve for x
    x = 222,329.03/641.98
  6. Step 6: Final answer
    x = 346.32

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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.