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Finding the Fourth Proportional to 417.87, 627.23 and 201.63

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Solution

The fourth proportional to 417.87, 627.23 and 201.63 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 627.23 = 201.63 : x
  2. Step 2: Convert to fraction form
    417.87/627.23 = 201.63/x
  3. Step 3: Cross multiply
    417.87x = 627.23 × 201.63
  4. Step 4: Simplify right side
    417.87x = 126,467.38
  5. Step 5: Solve for x
    x = 126,467.38/417.87
  6. Step 6: Final answer
    x = 302.65

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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.