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Finding the Fourth Proportional to 426.12, 638.10 and 263.31

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Solution

The fourth proportional to 426.12, 638.10 and 263.31 is: 394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 638.10 = 263.31 : x
  2. Step 2: Convert to fraction form
    426.12/638.10 = 263.31/x
  3. Step 3: Cross multiply
    426.12x = 638.10 × 263.31
  4. Step 4: Simplify right side
    426.12x = 168,018.11
  5. Step 5: Solve for x
    x = 168,018.11/426.12
  6. Step 6: Final answer
    x = 394.30

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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.