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Finding the Fourth Proportional to 327.51, 491.09 and 216.14

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Solution

The fourth proportional to 327.51, 491.09 and 216.14 is: 324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 491.09 = 216.14 : x
  2. Step 2: Convert to fraction form
    327.51/491.09 = 216.14/x
  3. Step 3: Cross multiply
    327.51x = 491.09 × 216.14
  4. Step 4: Simplify right side
    327.51x = 106,140.66
  5. Step 5: Solve for x
    x = 106,140.66/327.51
  6. Step 6: Final answer
    x = 324.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.