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Finding the Fourth Proportional to 418.08, 627.30 and 401.28

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Solution

The fourth proportional to 418.08, 627.30 and 401.28 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.08 : 627.30 = 401.28 : x
  2. Step 2: Convert to fraction form
    418.08/627.30 = 401.28/x
  3. Step 3: Cross multiply
    418.08x = 627.30 × 401.28
  4. Step 4: Simplify right side
    418.08x = 251,722.94
  5. Step 5: Solve for x
    x = 251,722.94/418.08
  6. Step 6: Final answer
    x = 602.09

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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.