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Finding the Fourth Proportional to 579.24, 869.16 and 214.14

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Solution

The fourth proportional to 579.24, 869.16 and 214.14 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 869.16 = 214.14 : x
  2. Step 2: Convert to fraction form
    579.24/869.16 = 214.14/x
  3. Step 3: Cross multiply
    579.24x = 869.16 × 214.14
  4. Step 4: Simplify right side
    579.24x = 186,121.92
  5. Step 5: Solve for x
    x = 186,121.92/579.24
  6. Step 6: Final answer
    x = 321.32

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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.