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Finding the Fourth Proportional to 513.56, 709.01 and 327.20

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Solution

The fourth proportional to 513.56, 709.01 and 327.20 is: 451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 709.01 = 327.20 : x
  2. Step 2: Convert to fraction form
    513.56/709.01 = 327.20/x
  3. Step 3: Cross multiply
    513.56x = 709.01 × 327.20
  4. Step 4: Simplify right side
    513.56x = 231,988.21
  5. Step 5: Solve for x
    x = 231,988.21/513.56
  6. Step 6: Final answer
    x = 451.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.