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Finding the Fourth Proportional to 578.89, 868.16 and 194.05

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Solution

The fourth proportional to 578.89, 868.16 and 194.05 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.89 : 868.16 = 194.05 : x
  2. Step 2: Convert to fraction form
    578.89/868.16 = 194.05/x
  3. Step 3: Cross multiply
    578.89x = 868.16 × 194.05
  4. Step 4: Simplify right side
    578.89x = 168,466.56
  5. Step 5: Solve for x
    x = 168,466.56/578.89
  6. Step 6: Final answer
    x = 291.02

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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.