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Finding the Fourth Proportional to 326.88, 451.35 and 216.30

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Solution

The fourth proportional to 326.88, 451.35 and 216.30 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 451.35 = 216.30 : x
  2. Step 2: Convert to fraction form
    326.88/451.35 = 216.30/x
  3. Step 3: Cross multiply
    326.88x = 451.35 × 216.30
  4. Step 4: Simplify right side
    326.88x = 97,627.01
  5. Step 5: Solve for x
    x = 97,627.01/326.88
  6. Step 6: Final answer
    x = 298.66

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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.