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Finding the Fourth Proportional to 578.77, 868.46 and 254.36

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Solution

The fourth proportional to 578.77, 868.46 and 254.36 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.77 : 868.46 = 254.36 : x
  2. Step 2: Convert to fraction form
    578.77/868.46 = 254.36/x
  3. Step 3: Cross multiply
    578.77x = 868.46 × 254.36
  4. Step 4: Simplify right side
    578.77x = 220,901.49
  5. Step 5: Solve for x
    x = 220,901.49/578.77
  6. Step 6: Final answer
    x = 381.67

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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.