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Finding the Fourth Proportional to 327.10, 451.11 and 264.55

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Solution

The fourth proportional to 327.10, 451.11 and 264.55 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.10 : 451.11 = 264.55 : x
  2. Step 2: Convert to fraction form
    327.10/451.11 = 264.55/x
  3. Step 3: Cross multiply
    327.10x = 451.11 × 264.55
  4. Step 4: Simplify right side
    327.10x = 119,341.15
  5. Step 5: Solve for x
    x = 119,341.15/327.10
  6. Step 6: Final answer
    x = 364.85

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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.