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Finding the Fourth Proportional to 418.38, 627.66 and 213.06

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Solution

The fourth proportional to 418.38, 627.66 and 213.06 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.38 : 627.66 = 213.06 : x
  2. Step 2: Convert to fraction form
    418.38/627.66 = 213.06/x
  3. Step 3: Cross multiply
    418.38x = 627.66 × 213.06
  4. Step 4: Simplify right side
    418.38x = 133,729.24
  5. Step 5: Solve for x
    x = 133,729.24/418.38
  6. Step 6: Final answer
    x = 319.64

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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.