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Finding the Fourth Proportional to 512.87, 769.84 and 224.51

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Solution

The fourth proportional to 512.87, 769.84 and 224.51 is: 336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 769.84 = 224.51 : x
  2. Step 2: Convert to fraction form
    512.87/769.84 = 224.51/x
  3. Step 3: Cross multiply
    512.87x = 769.84 × 224.51
  4. Step 4: Simplify right side
    512.87x = 172,832.37
  5. Step 5: Solve for x
    x = 172,832.37/512.87
  6. Step 6: Final answer
    x = 336.99

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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.