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Finding the Fourth Proportional to 512.46, 769.37 and 238.74

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Solution

The fourth proportional to 512.46, 769.37 and 238.74 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 769.37 = 238.74 : x
  2. Step 2: Convert to fraction form
    512.46/769.37 = 238.74/x
  3. Step 3: Cross multiply
    512.46x = 769.37 × 238.74
  4. Step 4: Simplify right side
    512.46x = 183,680.99
  5. Step 5: Solve for x
    x = 183,680.99/512.46
  6. Step 6: Final answer
    x = 358.43

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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.