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Finding the Fourth Proportional to 327.56, 452.14 and 211.13

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Solution

The fourth proportional to 327.56, 452.14 and 211.13 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.56 : 452.14 = 211.13 : x
  2. Step 2: Convert to fraction form
    327.56/452.14 = 211.13/x
  3. Step 3: Cross multiply
    327.56x = 452.14 × 211.13
  4. Step 4: Simplify right side
    327.56x = 95,457.53
  5. Step 5: Solve for x
    x = 95,457.53/327.56
  6. Step 6: Final answer
    x = 291.42

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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.