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Finding the Fourth Proportional to 578.69, 868.04 and 193.94

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Solution

The fourth proportional to 578.69, 868.04 and 193.94 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 868.04 = 193.94 : x
  2. Step 2: Convert to fraction form
    578.69/868.04 = 193.94/x
  3. Step 3: Cross multiply
    578.69x = 868.04 × 193.94
  4. Step 4: Simplify right side
    578.69x = 168,347.68
  5. Step 5: Solve for x
    x = 168,347.68/578.69
  6. Step 6: Final answer
    x = 290.91

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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.