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Finding the Fourth Proportional to 425.22, 638.52 and 263.92

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Solution

The fourth proportional to 425.22, 638.52 and 263.92 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.22 : 638.52 = 263.92 : x
  2. Step 2: Convert to fraction form
    425.22/638.52 = 263.92/x
  3. Step 3: Cross multiply
    425.22x = 638.52 × 263.92
  4. Step 4: Simplify right side
    425.22x = 168,518.20
  5. Step 5: Solve for x
    x = 168,518.20/425.22
  6. Step 6: Final answer
    x = 396.31

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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.