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Finding the Fourth Proportional to 641.33, 961.65 and 230.24

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Solution

The fourth proportional to 641.33, 961.65 and 230.24 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.33 : 961.65 = 230.24 : x
  2. Step 2: Convert to fraction form
    641.33/961.65 = 230.24/x
  3. Step 3: Cross multiply
    641.33x = 961.65 × 230.24
  4. Step 4: Simplify right side
    641.33x = 221,410.30
  5. Step 5: Solve for x
    x = 221,410.30/641.33
  6. Step 6: Final answer
    x = 345.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.