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Finding the Fourth Proportional to 513.61, 769.19 and 396.97

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Solution

The fourth proportional to 513.61, 769.19 and 396.97 is: 594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.61 : 769.19 = 396.97 : x
  2. Step 2: Convert to fraction form
    513.61/769.19 = 396.97/x
  3. Step 3: Cross multiply
    513.61x = 769.19 × 396.97
  4. Step 4: Simplify right side
    513.61x = 305,341.51
  5. Step 5: Solve for x
    x = 305,341.51/513.61
  6. Step 6: Final answer
    x = 594.51

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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.