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Finding the Fourth Proportional to 622.20, 932.22 and 378.18

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Solution

The fourth proportional to 622.20, 932.22 and 378.18 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.20 : 932.22 = 378.18 : x
  2. Step 2: Convert to fraction form
    622.20/932.22 = 378.18/x
  3. Step 3: Cross multiply
    622.20x = 932.22 × 378.18
  4. Step 4: Simplify right side
    622.20x = 352,546.96
  5. Step 5: Solve for x
    x = 352,546.96/622.20
  6. Step 6: Final answer
    x = 566.61

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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.