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Finding the Fourth Proportional to 418.27, 626.24 and 211.83

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Solution

The fourth proportional to 418.27, 626.24 and 211.83 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.27 : 626.24 = 211.83 : x
  2. Step 2: Convert to fraction form
    418.27/626.24 = 211.83/x
  3. Step 3: Cross multiply
    418.27x = 626.24 × 211.83
  4. Step 4: Simplify right side
    418.27x = 132,656.42
  5. Step 5: Solve for x
    x = 132,656.42/418.27
  6. Step 6: Final answer
    x = 317.15

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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.