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Finding the Fourth Proportional to 418.70, 628.25 and 213.17

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Solution

The fourth proportional to 418.70, 628.25 and 213.17 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.70 : 628.25 = 213.17 : x
  2. Step 2: Convert to fraction form
    418.70/628.25 = 213.17/x
  3. Step 3: Cross multiply
    418.70x = 628.25 × 213.17
  4. Step 4: Simplify right side
    418.70x = 133,919.85
  5. Step 5: Solve for x
    x = 133,919.85/418.70
  6. Step 6: Final answer
    x = 319.84

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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.