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Finding the Fourth Proportional to 426.10, 638.29 and 194.67

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Solution

The fourth proportional to 426.10, 638.29 and 194.67 is: 291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 638.29 = 194.67 : x
  2. Step 2: Convert to fraction form
    426.10/638.29 = 194.67/x
  3. Step 3: Cross multiply
    426.10x = 638.29 × 194.67
  4. Step 4: Simplify right side
    426.10x = 124,255.91
  5. Step 5: Solve for x
    x = 124,255.91/426.10
  6. Step 6: Final answer
    x = 291.61

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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.