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Finding the Fourth Proportional to 418.54, 627.96 and 213.16

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Solution

The fourth proportional to 418.54, 627.96 and 213.16 is: 319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.54 : 627.96 = 213.16 : x
  2. Step 2: Convert to fraction form
    418.54/627.96 = 213.16/x
  3. Step 3: Cross multiply
    418.54x = 627.96 × 213.16
  4. Step 4: Simplify right side
    418.54x = 133,855.95
  5. Step 5: Solve for x
    x = 133,855.95/418.54
  6. Step 6: Final answer
    x = 319.82

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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.