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Finding the Fourth Proportional to 578.82, 868.37 and 286.41

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Solution

The fourth proportional to 578.82, 868.37 and 286.41 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 868.37 = 286.41 : x
  2. Step 2: Convert to fraction form
    578.82/868.37 = 286.41/x
  3. Step 3: Cross multiply
    578.82x = 868.37 × 286.41
  4. Step 4: Simplify right side
    578.82x = 248,708.42
  5. Step 5: Solve for x
    x = 248,708.42/578.82
  6. Step 6: Final answer
    x = 429.68

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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.