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Finding the Fourth Proportional to 415.18, 622.68 and 252.28

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Solution

The fourth proportional to 415.18, 622.68 and 252.28 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.18 : 622.68 = 252.28 : x
  2. Step 2: Convert to fraction form
    415.18/622.68 = 252.28/x
  3. Step 3: Cross multiply
    415.18x = 622.68 × 252.28
  4. Step 4: Simplify right side
    415.18x = 157,089.71
  5. Step 5: Solve for x
    x = 157,089.71/415.18
  6. Step 6: Final answer
    x = 378.37

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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.