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Finding the Fourth Proportional to 418.88, 627.48 and 201.80

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Solution

The fourth proportional to 418.88, 627.48 and 201.80 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 627.48 = 201.80 : x
  2. Step 2: Convert to fraction form
    418.88/627.48 = 201.80/x
  3. Step 3: Cross multiply
    418.88x = 627.48 × 201.80
  4. Step 4: Simplify right side
    418.88x = 126,625.46
  5. Step 5: Solve for x
    x = 126,625.46/418.88
  6. Step 6: Final answer
    x = 302.30

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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.