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Finding the Fourth Proportional to 327.07, 451.40 and 216.78

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Solution

The fourth proportional to 327.07, 451.40 and 216.78 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 451.40 = 216.78 : x
  2. Step 2: Convert to fraction form
    327.07/451.40 = 216.78/x
  3. Step 3: Cross multiply
    327.07x = 451.40 × 216.78
  4. Step 4: Simplify right side
    327.07x = 97,854.49
  5. Step 5: Solve for x
    x = 97,854.49/327.07
  6. Step 6: Final answer
    x = 299.19

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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.