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Finding the Fourth Proportional to 645.24, 967.94 and 234.57

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Solution

The fourth proportional to 645.24, 967.94 and 234.57 is: 351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 967.94 = 234.57 : x
  2. Step 2: Convert to fraction form
    645.24/967.94 = 234.57/x
  3. Step 3: Cross multiply
    645.24x = 967.94 × 234.57
  4. Step 4: Simplify right side
    645.24x = 227,049.69
  5. Step 5: Solve for x
    x = 227,049.69/645.24
  6. Step 6: Final answer
    x = 351.88

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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.