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Finding the Fourth Proportional to 513.66, 708.56 and 327.10

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Solution

The fourth proportional to 513.66, 708.56 and 327.10 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 708.56 = 327.10 : x
  2. Step 2: Convert to fraction form
    513.66/708.56 = 327.10/x
  3. Step 3: Cross multiply
    513.66x = 708.56 × 327.10
  4. Step 4: Simplify right side
    513.66x = 231,769.98
  5. Step 5: Solve for x
    x = 231,769.98/513.66
  6. Step 6: Final answer
    x = 451.21

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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.