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Finding the Fourth Proportional to 418.78, 627.15 and 213.04

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Solution

The fourth proportional to 418.78, 627.15 and 213.04 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 627.15 = 213.04 : x
  2. Step 2: Convert to fraction form
    418.78/627.15 = 213.04/x
  3. Step 3: Cross multiply
    418.78x = 627.15 × 213.04
  4. Step 4: Simplify right side
    418.78x = 133,608.04
  5. Step 5: Solve for x
    x = 133,608.04/418.78
  6. Step 6: Final answer
    x = 319.04

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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.