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Finding the Fourth Proportional to 641.11, 960.93 and 312.22

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Solution

The fourth proportional to 641.11, 960.93 and 312.22 is: 467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.11 : 960.93 = 312.22 : x
  2. Step 2: Convert to fraction form
    641.11/960.93 = 312.22/x
  3. Step 3: Cross multiply
    641.11x = 960.93 × 312.22
  4. Step 4: Simplify right side
    641.11x = 300,016.76
  5. Step 5: Solve for x
    x = 300,016.76/641.11
  6. Step 6: Final answer
    x = 467.96

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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.