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Finding the Fourth Proportional to 327.06, 450.93 and 216.33

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Solution

The fourth proportional to 327.06, 450.93 and 216.33 is: 298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 450.93 = 216.33 : x
  2. Step 2: Convert to fraction form
    327.06/450.93 = 216.33/x
  3. Step 3: Cross multiply
    327.06x = 450.93 × 216.33
  4. Step 4: Simplify right side
    327.06x = 97,549.69
  5. Step 5: Solve for x
    x = 97,549.69/327.06
  6. Step 6: Final answer
    x = 298.26

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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.