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Finding the Fourth Proportional to 418.19, 628.49 and 201.92

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Solution

The fourth proportional to 418.19, 628.49 and 201.92 is: 303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.19 : 628.49 = 201.92 : x
  2. Step 2: Convert to fraction form
    418.19/628.49 = 201.92/x
  3. Step 3: Cross multiply
    418.19x = 628.49 × 201.92
  4. Step 4: Simplify right side
    418.19x = 126,902.06
  5. Step 5: Solve for x
    x = 126,902.06/418.19
  6. Step 6: Final answer
    x = 303.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.