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Finding the Fourth Proportional to 512.94, 769.40 and 238.89

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Solution

The fourth proportional to 512.94, 769.40 and 238.89 is: 358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 769.40 = 238.89 : x
  2. Step 2: Convert to fraction form
    512.94/769.40 = 238.89/x
  3. Step 3: Cross multiply
    512.94x = 769.40 × 238.89
  4. Step 4: Simplify right side
    512.94x = 183,801.97
  5. Step 5: Solve for x
    x = 183,801.97/512.94
  6. Step 6: Final answer
    x = 358.33

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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.