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Finding the Fourth Proportional to 411.68, 615.96 and 229.22

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Solution

The fourth proportional to 411.68, 615.96 and 229.22 is: 342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 615.96 = 229.22 : x
  2. Step 2: Convert to fraction form
    411.68/615.96 = 229.22/x
  3. Step 3: Cross multiply
    411.68x = 615.96 × 229.22
  4. Step 4: Simplify right side
    411.68x = 141,190.35
  5. Step 5: Solve for x
    x = 141,190.35/411.68
  6. Step 6: Final answer
    x = 342.96

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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.