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Finding the Fourth Proportional to 426.50, 638.66 and 263.69

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Solution

The fourth proportional to 426.50, 638.66 and 263.69 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 638.66 = 263.69 : x
  2. Step 2: Convert to fraction form
    426.50/638.66 = 263.69/x
  3. Step 3: Cross multiply
    426.50x = 638.66 × 263.69
  4. Step 4: Simplify right side
    426.50x = 168,405.72
  5. Step 5: Solve for x
    x = 168,405.72/426.50
  6. Step 6: Final answer
    x = 394.86

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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.