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Finding the Fourth Proportional to 460.62, 692.42 and 426.78

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Solution

The fourth proportional to 460.62, 692.42 and 426.78 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 692.42 = 426.78 : x
  2. Step 2: Convert to fraction form
    460.62/692.42 = 426.78/x
  3. Step 3: Cross multiply
    460.62x = 692.42 × 426.78
  4. Step 4: Simplify right side
    460.62x = 295,508.87
  5. Step 5: Solve for x
    x = 295,508.87/460.62
  6. Step 6: Final answer
    x = 641.55

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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.