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Finding the Fourth Proportional to 311.12, 466.08 and 234.58

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Solution

The fourth proportional to 311.12, 466.08 and 234.58 is: 351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.12 : 466.08 = 234.58 : x
  2. Step 2: Convert to fraction form
    311.12/466.08 = 234.58/x
  3. Step 3: Cross multiply
    311.12x = 466.08 × 234.58
  4. Step 4: Simplify right side
    311.12x = 109,333.05
  5. Step 5: Solve for x
    x = 109,333.05/311.12
  6. Step 6: Final answer
    x = 351.42

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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.