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Finding the Fourth Proportional to 578.26, 867.10 and 212.80

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Solution

The fourth proportional to 578.26, 867.10 and 212.80 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 867.10 = 212.80 : x
  2. Step 2: Convert to fraction form
    578.26/867.10 = 212.80/x
  3. Step 3: Cross multiply
    578.26x = 867.10 × 212.80
  4. Step 4: Simplify right side
    578.26x = 184,518.88
  5. Step 5: Solve for x
    x = 184,518.88/578.26
  6. Step 6: Final answer
    x = 319.09

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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.