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Finding the Fourth Proportional to 311.57, 465.98 and 233.68

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Solution

The fourth proportional to 311.57, 465.98 and 233.68 is: 349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 465.98 = 233.68 : x
  2. Step 2: Convert to fraction form
    311.57/465.98 = 233.68/x
  3. Step 3: Cross multiply
    311.57x = 465.98 × 233.68
  4. Step 4: Simplify right side
    311.57x = 108,887.87
  5. Step 5: Solve for x
    x = 108,887.87/311.57
  6. Step 6: Final answer
    x = 349.48

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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.