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Finding the Fourth Proportional to 578.17, 867.33 and 213.21

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Solution

The fourth proportional to 578.17, 867.33 and 213.21 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.17 : 867.33 = 213.21 : x
  2. Step 2: Convert to fraction form
    578.17/867.33 = 213.21/x
  3. Step 3: Cross multiply
    578.17x = 867.33 × 213.21
  4. Step 4: Simplify right side
    578.17x = 184,926.68
  5. Step 5: Solve for x
    x = 184,926.68/578.17
  6. Step 6: Final answer
    x = 319.85

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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.