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Finding the Fourth Proportional to 578.53, 867.78 and 213.31

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Solution

The fourth proportional to 578.53, 867.78 and 213.31 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 867.78 = 213.31 : x
  2. Step 2: Convert to fraction form
    578.53/867.78 = 213.31/x
  3. Step 3: Cross multiply
    578.53x = 867.78 × 213.31
  4. Step 4: Simplify right side
    578.53x = 185,107.24
  5. Step 5: Solve for x
    x = 185,107.24/578.53
  6. Step 6: Final answer
    x = 319.96

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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.