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Finding the Fourth Proportional to 578.38, 867.64 and 213.17

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Solution

The fourth proportional to 578.38, 867.64 and 213.17 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.38 : 867.64 = 213.17 : x
  2. Step 2: Convert to fraction form
    578.38/867.64 = 213.17/x
  3. Step 3: Cross multiply
    578.38x = 867.64 × 213.17
  4. Step 4: Simplify right side
    578.38x = 184,954.82
  5. Step 5: Solve for x
    x = 184,954.82/578.38
  6. Step 6: Final answer
    x = 319.78

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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.