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Finding the Fourth Proportional to 641.06, 961.56 and 230.12

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Solution

The fourth proportional to 641.06, 961.56 and 230.12 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.06 : 961.56 = 230.12 : x
  2. Step 2: Convert to fraction form
    641.06/961.56 = 230.12/x
  3. Step 3: Cross multiply
    641.06x = 961.56 × 230.12
  4. Step 4: Simplify right side
    641.06x = 221,274.19
  5. Step 5: Solve for x
    x = 221,274.19/641.06
  6. Step 6: Final answer
    x = 345.17

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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.