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Finding the Fourth Proportional to 418.18, 627.41 and 201.61

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Solution

The fourth proportional to 418.18, 627.41 and 201.61 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.18 : 627.41 = 201.61 : x
  2. Step 2: Convert to fraction form
    418.18/627.41 = 201.61/x
  3. Step 3: Cross multiply
    418.18x = 627.41 × 201.61
  4. Step 4: Simplify right side
    418.18x = 126,487.99
  5. Step 5: Solve for x
    x = 126,487.99/418.18
  6. Step 6: Final answer
    x = 302.48

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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.