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Finding the Fourth Proportional to 326.70, 451.06 and 216.33

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Solution

The fourth proportional to 326.70, 451.06 and 216.33 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.70 : 451.06 = 216.33 : x
  2. Step 2: Convert to fraction form
    326.70/451.06 = 216.33/x
  3. Step 3: Cross multiply
    326.70x = 451.06 × 216.33
  4. Step 4: Simplify right side
    326.70x = 97,575.01
  5. Step 5: Solve for x
    x = 97,575.01/326.70
  6. Step 6: Final answer
    x = 298.67

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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.