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Finding the Fourth Proportional to 311.04, 432.12 and 308.22

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Solution

The fourth proportional to 311.04, 432.12 and 308.22 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 432.12 = 308.22 : x
  2. Step 2: Convert to fraction form
    311.04/432.12 = 308.22/x
  3. Step 3: Cross multiply
    311.04x = 432.12 × 308.22
  4. Step 4: Simplify right side
    311.04x = 133,188.03
  5. Step 5: Solve for x
    x = 133,188.03/311.04
  6. Step 6: Final answer
    x = 428.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.