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Finding the Fourth Proportional to 365.13, 546.62 and 220.41

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Solution

The fourth proportional to 365.13, 546.62 and 220.41 is: 329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.13 : 546.62 = 220.41 : x
  2. Step 2: Convert to fraction form
    365.13/546.62 = 220.41/x
  3. Step 3: Cross multiply
    365.13x = 546.62 × 220.41
  4. Step 4: Simplify right side
    365.13x = 120,479.41
  5. Step 5: Solve for x
    x = 120,479.41/365.13
  6. Step 6: Final answer
    x = 329.96

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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.