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Finding the Fourth Proportional to 641.20, 961.54 and 230.24

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Solution

The fourth proportional to 641.20, 961.54 and 230.24 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.20 : 961.54 = 230.24 : x
  2. Step 2: Convert to fraction form
    641.20/961.54 = 230.24/x
  3. Step 3: Cross multiply
    641.20x = 961.54 × 230.24
  4. Step 4: Simplify right side
    641.20x = 221,384.97
  5. Step 5: Solve for x
    x = 221,384.97/641.20
  6. Step 6: Final answer
    x = 345.27

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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.