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Finding the Fourth Proportional to 641.32, 962.15 and 230.33

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Solution

The fourth proportional to 641.32, 962.15 and 230.33 is: 345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.32 : 962.15 = 230.33 : x
  2. Step 2: Convert to fraction form
    641.32/962.15 = 230.33/x
  3. Step 3: Cross multiply
    641.32x = 962.15 × 230.33
  4. Step 4: Simplify right side
    641.32x = 221,613.26
  5. Step 5: Solve for x
    x = 221,613.26/641.32
  6. Step 6: Final answer
    x = 345.56

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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.