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Finding the Fourth Proportional to 400.08, 600.30 and 217.41

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Solution

The fourth proportional to 400.08, 600.30 and 217.41 is: 326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 600.30 = 217.41 : x
  2. Step 2: Convert to fraction form
    400.08/600.30 = 217.41/x
  3. Step 3: Cross multiply
    400.08x = 600.30 × 217.41
  4. Step 4: Simplify right side
    400.08x = 130,511.22
  5. Step 5: Solve for x
    x = 130,511.22/400.08
  6. Step 6: Final answer
    x = 326.21

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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.