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Finding the Fourth Proportional to 327.50, 452.16 and 211.26

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Solution

The fourth proportional to 327.50, 452.16 and 211.26 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.50 : 452.16 = 211.26 : x
  2. Step 2: Convert to fraction form
    327.50/452.16 = 211.26/x
  3. Step 3: Cross multiply
    327.50x = 452.16 × 211.26
  4. Step 4: Simplify right side
    327.50x = 95,523.32
  5. Step 5: Solve for x
    x = 95,523.32/327.50
  6. Step 6: Final answer
    x = 291.67

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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.