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Finding the Fourth Proportional to 579.09, 868.74 and 214.14

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Solution

The fourth proportional to 579.09, 868.74 and 214.14 is: 321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.09 : 868.74 = 214.14 : x
  2. Step 2: Convert to fraction form
    579.09/868.74 = 214.14/x
  3. Step 3: Cross multiply
    579.09x = 868.74 × 214.14
  4. Step 4: Simplify right side
    579.09x = 186,031.98
  5. Step 5: Solve for x
    x = 186,031.98/579.09
  6. Step 6: Final answer
    x = 321.25

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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.