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Finding the Fourth Proportional to 579.25, 868.73 and 214.14

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Solution

The fourth proportional to 579.25, 868.73 and 214.14 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.25 : 868.73 = 214.14 : x
  2. Step 2: Convert to fraction form
    579.25/868.73 = 214.14/x
  3. Step 3: Cross multiply
    579.25x = 868.73 × 214.14
  4. Step 4: Simplify right side
    579.25x = 186,032.03
  5. Step 5: Solve for x
    x = 186,032.03/579.25
  6. Step 6: Final answer
    x = 321.16

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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.