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Finding the Fourth Proportional to 578.52, 867.24 and 213.24

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Solution

The fourth proportional to 578.52, 867.24 and 213.24 is: 319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 867.24 = 213.24 : x
  2. Step 2: Convert to fraction form
    578.52/867.24 = 213.24/x
  3. Step 3: Cross multiply
    578.52x = 867.24 × 213.24
  4. Step 4: Simplify right side
    578.52x = 184,930.26
  5. Step 5: Solve for x
    x = 184,930.26/578.52
  6. Step 6: Final answer
    x = 319.66

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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.