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Finding the Fourth Proportional to 579.68, 868.98 and 214.28

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Solution

The fourth proportional to 579.68, 868.98 and 214.28 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 868.98 = 214.28 : x
  2. Step 2: Convert to fraction form
    579.68/868.98 = 214.28/x
  3. Step 3: Cross multiply
    579.68x = 868.98 × 214.28
  4. Step 4: Simplify right side
    579.68x = 186,205.03
  5. Step 5: Solve for x
    x = 186,205.03/579.68
  6. Step 6: Final answer
    x = 321.22

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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.