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Finding the Fourth Proportional to 513.96, 771.09 and 189.36

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Solution

The fourth proportional to 513.96, 771.09 and 189.36 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 771.09 = 189.36 : x
  2. Step 2: Convert to fraction form
    513.96/771.09 = 189.36/x
  3. Step 3: Cross multiply
    513.96x = 771.09 × 189.36
  4. Step 4: Simplify right side
    513.96x = 146,012.66
  5. Step 5: Solve for x
    x = 146,012.66/513.96
  6. Step 6: Final answer
    x = 284.09

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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.