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Finding the Fourth Proportional to 641.26, 961.80 and 230.34

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Solution

The fourth proportional to 641.26, 961.80 and 230.34 is: 345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.26 : 961.80 = 230.34 : x
  2. Step 2: Convert to fraction form
    641.26/961.80 = 230.34/x
  3. Step 3: Cross multiply
    641.26x = 961.80 × 230.34
  4. Step 4: Simplify right side
    641.26x = 221,541.01
  5. Step 5: Solve for x
    x = 221,541.01/641.26
  6. Step 6: Final answer
    x = 345.48

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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.