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Finding the Fourth Proportional to 418.12, 626.28 and 201.04

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Solution

The fourth proportional to 418.12, 626.28 and 201.04 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 626.28 = 201.04 : x
  2. Step 2: Convert to fraction form
    418.12/626.28 = 201.04/x
  3. Step 3: Cross multiply
    418.12x = 626.28 × 201.04
  4. Step 4: Simplify right side
    418.12x = 125,907.33
  5. Step 5: Solve for x
    x = 125,907.33/418.12
  6. Step 6: Final answer
    x = 301.13

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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.