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Finding the Fourth Proportional to 579.60, 869.42 and 214.48

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Solution

The fourth proportional to 579.60, 869.42 and 214.48 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 869.42 = 214.48 : x
  2. Step 2: Convert to fraction form
    579.60/869.42 = 214.48/x
  3. Step 3: Cross multiply
    579.60x = 869.42 × 214.48
  4. Step 4: Simplify right side
    579.60x = 186,473.20
  5. Step 5: Solve for x
    x = 186,473.20/579.60
  6. Step 6: Final answer
    x = 321.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.