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Finding the Fourth Proportional to 426.36, 638.58 and 263.58

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Solution

The fourth proportional to 426.36, 638.58 and 263.58 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.36 : 638.58 = 263.58 : x
  2. Step 2: Convert to fraction form
    426.36/638.58 = 263.58/x
  3. Step 3: Cross multiply
    426.36x = 638.58 × 263.58
  4. Step 4: Simplify right side
    426.36x = 168,316.92
  5. Step 5: Solve for x
    x = 168,316.92/426.36
  6. Step 6: Final answer
    x = 394.78

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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.