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Finding the Fourth Proportional to 311.64, 466.06 and 233.74

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Solution

The fourth proportional to 311.64, 466.06 and 233.74 is: 349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 466.06 = 233.74 : x
  2. Step 2: Convert to fraction form
    311.64/466.06 = 233.74/x
  3. Step 3: Cross multiply
    311.64x = 466.06 × 233.74
  4. Step 4: Simplify right side
    311.64x = 108,936.86
  5. Step 5: Solve for x
    x = 108,936.86/311.64
  6. Step 6: Final answer
    x = 349.56

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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.