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Finding the Fourth Proportional to 579.26, 869.34 and 214.40

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Solution

The fourth proportional to 579.26, 869.34 and 214.40 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.26 : 869.34 = 214.40 : x
  2. Step 2: Convert to fraction form
    579.26/869.34 = 214.40/x
  3. Step 3: Cross multiply
    579.26x = 869.34 × 214.40
  4. Step 4: Simplify right side
    579.26x = 186,386.50
  5. Step 5: Solve for x
    x = 186,386.50/579.26
  6. Step 6: Final answer
    x = 321.77

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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.