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Finding the Fourth Proportional to 400.50, 600.42 and 217.80

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Solution

The fourth proportional to 400.50, 600.42 and 217.80 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.50 : 600.42 = 217.80 : x
  2. Step 2: Convert to fraction form
    400.50/600.42 = 217.80/x
  3. Step 3: Cross multiply
    400.50x = 600.42 × 217.80
  4. Step 4: Simplify right side
    400.50x = 130,771.48
  5. Step 5: Solve for x
    x = 130,771.48/400.50
  6. Step 6: Final answer
    x = 326.52

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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.