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Finding the Fourth Proportional to 311.38, 466.45 and 285.86

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Solution

The fourth proportional to 311.38, 466.45 and 285.86 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.38 : 466.45 = 285.86 : x
  2. Step 2: Convert to fraction form
    311.38/466.45 = 285.86/x
  3. Step 3: Cross multiply
    311.38x = 466.45 × 285.86
  4. Step 4: Simplify right side
    311.38x = 133,339.85
  5. Step 5: Solve for x
    x = 133,339.85/311.38
  6. Step 6: Final answer
    x = 428.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.