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Finding the Fourth Proportional to 418.05, 626.76 and 201.57

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Solution

The fourth proportional to 418.05, 626.76 and 201.57 is: 302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 626.76 = 201.57 : x
  2. Step 2: Convert to fraction form
    418.05/626.76 = 201.57/x
  3. Step 3: Cross multiply
    418.05x = 626.76 × 201.57
  4. Step 4: Simplify right side
    418.05x = 126,336.01
  5. Step 5: Solve for x
    x = 126,336.01/418.05
  6. Step 6: Final answer
    x = 302.20

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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.