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Finding the Fourth Proportional to 513.42, 769.83 and 252.84

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Solution

The fourth proportional to 513.42, 769.83 and 252.84 is: 379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 769.83 = 252.84 : x
  2. Step 2: Convert to fraction form
    513.42/769.83 = 252.84/x
  3. Step 3: Cross multiply
    513.42x = 769.83 × 252.84
  4. Step 4: Simplify right side
    513.42x = 194,643.82
  5. Step 5: Solve for x
    x = 194,643.82/513.42
  6. Step 6: Final answer
    x = 379.11

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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.