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Finding the Fourth Proportional to 579.56, 868.82 and 214.09

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Solution

The fourth proportional to 579.56, 868.82 and 214.09 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.56 : 868.82 = 214.09 : x
  2. Step 2: Convert to fraction form
    579.56/868.82 = 214.09/x
  3. Step 3: Cross multiply
    579.56x = 868.82 × 214.09
  4. Step 4: Simplify right side
    579.56x = 186,002.43
  5. Step 5: Solve for x
    x = 186,002.43/579.56
  6. Step 6: Final answer
    x = 320.94

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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.