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Finding the Fourth Proportional to 641.16, 961.17 and 230.20

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Solution

The fourth proportional to 641.16, 961.17 and 230.20 is: 345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.16 : 961.17 = 230.20 : x
  2. Step 2: Convert to fraction form
    641.16/961.17 = 230.20/x
  3. Step 3: Cross multiply
    641.16x = 961.17 × 230.20
  4. Step 4: Simplify right side
    641.16x = 221,262.59
  5. Step 5: Solve for x
    x = 221,262.59/641.16
  6. Step 6: Final answer
    x = 345.10

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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.