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Finding the Fourth Proportional to 415.22, 622.16 and 252.58

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Solution

The fourth proportional to 415.22, 622.16 and 252.58 is: 378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 622.16 = 252.58 : x
  2. Step 2: Convert to fraction form
    415.22/622.16 = 252.58/x
  3. Step 3: Cross multiply
    415.22x = 622.16 × 252.58
  4. Step 4: Simplify right side
    415.22x = 157,143.91
  5. Step 5: Solve for x
    x = 157,143.91/415.22
  6. Step 6: Final answer
    x = 378.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.