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Finding the Fourth Proportional to 365.34, 547.38 and 220.75

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Solution

The fourth proportional to 365.34, 547.38 and 220.75 is: 330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 547.38 = 220.75 : x
  2. Step 2: Convert to fraction form
    365.34/547.38 = 220.75/x
  3. Step 3: Cross multiply
    365.34x = 547.38 × 220.75
  4. Step 4: Simplify right side
    365.34x = 120,834.69
  5. Step 5: Solve for x
    x = 120,834.69/365.34
  6. Step 6: Final answer
    x = 330.75

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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.