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Finding the Fourth Proportional to 513.04, 769.74 and 224.50

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Solution

The fourth proportional to 513.04, 769.74 and 224.50 is: 336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 769.74 = 224.50 : x
  2. Step 2: Convert to fraction form
    513.04/769.74 = 224.50/x
  3. Step 3: Cross multiply
    513.04x = 769.74 × 224.50
  4. Step 4: Simplify right side
    513.04x = 172,806.63
  5. Step 5: Solve for x
    x = 172,806.63/513.04
  6. Step 6: Final answer
    x = 336.83

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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.