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Finding the Fourth Proportional to 512.76, 769.14 and 405.30

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Solution

The fourth proportional to 512.76, 769.14 and 405.30 is: 607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 769.14 = 405.30 : x
  2. Step 2: Convert to fraction form
    512.76/769.14 = 405.30/x
  3. Step 3: Cross multiply
    512.76x = 769.14 × 405.30
  4. Step 4: Simplify right side
    512.76x = 311,732.44
  5. Step 5: Solve for x
    x = 311,732.44/512.76
  6. Step 6: Final answer
    x = 607.95

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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.