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Finding the Fourth Proportional to 513, 769.77 and 224.51

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Solution

The fourth proportional to 513, 769.77 and 224.51 is: 336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 769.77 = 224.51 : x
  2. Step 2: Convert to fraction form
    513/769.77 = 224.51/x
  3. Step 3: Cross multiply
    513x = 769.77 × 224.51
  4. Step 4: Simplify right side
    513x = 172,817.21
  5. Step 5: Solve for x
    x = 172,817.21/513
  6. Step 6: Final answer
    x = 336.88

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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.