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Finding the Fourth Proportional to 418.91, 628.29 and 213.42

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Solution

The fourth proportional to 418.91, 628.29 and 213.42 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.91 : 628.29 = 213.42 : x
  2. Step 2: Convert to fraction form
    418.91/628.29 = 213.42/x
  3. Step 3: Cross multiply
    418.91x = 628.29 × 213.42
  4. Step 4: Simplify right side
    418.91x = 134,088.58
  5. Step 5: Solve for x
    x = 134,088.58/418.91
  6. Step 6: Final answer
    x = 320.09

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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.