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Finding the Fourth Proportional to 365.28, 546.84 and 220.56

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Solution

The fourth proportional to 365.28, 546.84 and 220.56 is: 330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 546.84 = 220.56 : x
  2. Step 2: Convert to fraction form
    365.28/546.84 = 220.56/x
  3. Step 3: Cross multiply
    365.28x = 546.84 × 220.56
  4. Step 4: Simplify right side
    365.28x = 120,611.03
  5. Step 5: Solve for x
    x = 120,611.03/365.28
  6. Step 6: Final answer
    x = 330.19

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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.