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Finding the Fourth Proportional to 418.24, 626.64 and 201.28

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Solution

The fourth proportional to 418.24, 626.64 and 201.28 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 626.64 = 201.28 : x
  2. Step 2: Convert to fraction form
    418.24/626.64 = 201.28/x
  3. Step 3: Cross multiply
    418.24x = 626.64 × 201.28
  4. Step 4: Simplify right side
    418.24x = 126,130.10
  5. Step 5: Solve for x
    x = 126,130.10/418.24
  6. Step 6: Final answer
    x = 301.57

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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.