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Finding the Fourth Proportional to 578.18, 867.35 and 213.47

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Solution

The fourth proportional to 578.18, 867.35 and 213.47 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.18 : 867.35 = 213.47 : x
  2. Step 2: Convert to fraction form
    578.18/867.35 = 213.47/x
  3. Step 3: Cross multiply
    578.18x = 867.35 × 213.47
  4. Step 4: Simplify right side
    578.18x = 185,147.80
  5. Step 5: Solve for x
    x = 185,147.80/578.18
  6. Step 6: Final answer
    x = 320.23

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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.