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Finding the Fourth Proportional to 418.92, 628.48 and 213.48

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Solution

The fourth proportional to 418.92, 628.48 and 213.48 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.92 : 628.48 = 213.48 : x
  2. Step 2: Convert to fraction form
    418.92/628.48 = 213.48/x
  3. Step 3: Cross multiply
    418.92x = 628.48 × 213.48
  4. Step 4: Simplify right side
    418.92x = 134,167.91
  5. Step 5: Solve for x
    x = 134,167.91/418.92
  6. Step 6: Final answer
    x = 320.27

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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.