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Finding the Fourth Proportional to 578.41, 867.19 and 213.20

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Solution

The fourth proportional to 578.41, 867.19 and 213.20 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.41 : 867.19 = 213.20 : x
  2. Step 2: Convert to fraction form
    578.41/867.19 = 213.20/x
  3. Step 3: Cross multiply
    578.41x = 867.19 × 213.20
  4. Step 4: Simplify right side
    578.41x = 184,883.84
  5. Step 5: Solve for x
    x = 184,883.84/578.41
  6. Step 6: Final answer
    x = 319.64

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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.