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Finding the Fourth Proportional to 326.40, 450.16 and 215.88

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Solution

The fourth proportional to 326.40, 450.16 and 215.88 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 450.16 = 215.88 : x
  2. Step 2: Convert to fraction form
    326.40/450.16 = 215.88/x
  3. Step 3: Cross multiply
    326.40x = 450.16 × 215.88
  4. Step 4: Simplify right side
    326.40x = 97,180.54
  5. Step 5: Solve for x
    x = 97,180.54/326.40
  6. Step 6: Final answer
    x = 297.73

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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.