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Finding the Fourth Proportional to 579.42, 869.09 and 214.17

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Solution

The fourth proportional to 579.42, 869.09 and 214.17 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 869.09 = 214.17 : x
  2. Step 2: Convert to fraction form
    579.42/869.09 = 214.17/x
  3. Step 3: Cross multiply
    579.42x = 869.09 × 214.17
  4. Step 4: Simplify right side
    579.42x = 186,133.01
  5. Step 5: Solve for x
    x = 186,133.01/579.42
  6. Step 6: Final answer
    x = 321.24

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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.