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Finding the Fourth Proportional to 418.22, 576.92 and 252.50

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Solution

The fourth proportional to 418.22, 576.92 and 252.50 is: 348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.22 : 576.92 = 252.50 : x
  2. Step 2: Convert to fraction form
    418.22/576.92 = 252.50/x
  3. Step 3: Cross multiply
    418.22x = 576.92 × 252.50
  4. Step 4: Simplify right side
    418.22x = 145,672.30
  5. Step 5: Solve for x
    x = 145,672.30/418.22
  6. Step 6: Final answer
    x = 348.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.