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Finding the Fourth Proportional to 327.64, 452.04 and 211.27

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Solution

The fourth proportional to 327.64, 452.04 and 211.27 is: 291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.64 : 452.04 = 211.27 : x
  2. Step 2: Convert to fraction form
    327.64/452.04 = 211.27/x
  3. Step 3: Cross multiply
    327.64x = 452.04 × 211.27
  4. Step 4: Simplify right side
    327.64x = 95,502.49
  5. Step 5: Solve for x
    x = 95,502.49/327.64
  6. Step 6: Final answer
    x = 291.49

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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.