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Finding the Fourth Proportional to 579.36, 869.20 and 194.56

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Solution

The fourth proportional to 579.36, 869.20 and 194.56 is: 291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.36 : 869.20 = 194.56 : x
  2. Step 2: Convert to fraction form
    579.36/869.20 = 194.56/x
  3. Step 3: Cross multiply
    579.36x = 869.20 × 194.56
  4. Step 4: Simplify right side
    579.36x = 169,111.55
  5. Step 5: Solve for x
    x = 169,111.55/579.36
  6. Step 6: Final answer
    x = 291.89

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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.