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Finding the Fourth Proportional to 513.62, 769.54 and 404.63

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Solution

The fourth proportional to 513.62, 769.54 and 404.63 is: 606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.62 : 769.54 = 404.63 : x
  2. Step 2: Convert to fraction form
    513.62/769.54 = 404.63/x
  3. Step 3: Cross multiply
    513.62x = 769.54 × 404.63
  4. Step 4: Simplify right side
    513.62x = 311,379.88
  5. Step 5: Solve for x
    x = 311,379.88/513.62
  6. Step 6: Final answer
    x = 606.24

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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.