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Finding the Fourth Proportional to 578.94, 868.65 and 254.34

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Solution

The fourth proportional to 578.94, 868.65 and 254.34 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 868.65 = 254.34 : x
  2. Step 2: Convert to fraction form
    578.94/868.65 = 254.34/x
  3. Step 3: Cross multiply
    578.94x = 868.65 × 254.34
  4. Step 4: Simplify right side
    578.94x = 220,932.44
  5. Step 5: Solve for x
    x = 220,932.44/578.94
  6. Step 6: Final answer
    x = 381.62

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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.