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Finding the Fourth Proportional to 579.54, 869.16 and 214.22

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Solution

The fourth proportional to 579.54, 869.16 and 214.22 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.54 : 869.16 = 214.22 : x
  2. Step 2: Convert to fraction form
    579.54/869.16 = 214.22/x
  3. Step 3: Cross multiply
    579.54x = 869.16 × 214.22
  4. Step 4: Simplify right side
    579.54x = 186,191.46
  5. Step 5: Solve for x
    x = 186,191.46/579.54
  6. Step 6: Final answer
    x = 321.27

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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.