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Finding the Fourth Proportional to 418.13, 627.47 and 201.72

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Solution

The fourth proportional to 418.13, 627.47 and 201.72 is: 302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 627.47 = 201.72 : x
  2. Step 2: Convert to fraction form
    418.13/627.47 = 201.72/x
  3. Step 3: Cross multiply
    418.13x = 627.47 × 201.72
  4. Step 4: Simplify right side
    418.13x = 126,572.24
  5. Step 5: Solve for x
    x = 126,572.24/418.13
  6. Step 6: Final answer
    x = 302.71

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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.