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Finding the Fourth Proportional to 579.75, 869.22 and 214.33

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Solution

The fourth proportional to 579.75, 869.22 and 214.33 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.75 : 869.22 = 214.33 : x
  2. Step 2: Convert to fraction form
    579.75/869.22 = 214.33/x
  3. Step 3: Cross multiply
    579.75x = 869.22 × 214.33
  4. Step 4: Simplify right side
    579.75x = 186,299.92
  5. Step 5: Solve for x
    x = 186,299.92/579.75
  6. Step 6: Final answer
    x = 321.35

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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.