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Finding the Fourth Proportional to 302.78, 453.22 and 220.30

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Solution

The fourth proportional to 302.78, 453.22 and 220.30 is: 329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 453.22 = 220.30 : x
  2. Step 2: Convert to fraction form
    302.78/453.22 = 220.30/x
  3. Step 3: Cross multiply
    302.78x = 453.22 × 220.30
  4. Step 4: Simplify right side
    302.78x = 99,844.37
  5. Step 5: Solve for x
    x = 99,844.37/302.78
  6. Step 6: Final answer
    x = 329.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.