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Finding the Fourth Proportional to 418.84, 627.84 and 213.17

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Solution

The fourth proportional to 418.84, 627.84 and 213.17 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.84 : 627.84 = 213.17 : x
  2. Step 2: Convert to fraction form
    418.84/627.84 = 213.17/x
  3. Step 3: Cross multiply
    418.84x = 627.84 × 213.17
  4. Step 4: Simplify right side
    418.84x = 133,833.51
  5. Step 5: Solve for x
    x = 133,833.51/418.84
  6. Step 6: Final answer
    x = 319.54

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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.