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Finding the Fourth Proportional to 578.92, 867.62 and 270.74

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Solution

The fourth proportional to 578.92, 867.62 and 270.74 is: 405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 867.62 = 270.74 : x
  2. Step 2: Convert to fraction form
    578.92/867.62 = 270.74/x
  3. Step 3: Cross multiply
    578.92x = 867.62 × 270.74
  4. Step 4: Simplify right side
    578.92x = 234,899.44
  5. Step 5: Solve for x
    x = 234,899.44/578.92
  6. Step 6: Final answer
    x = 405.75

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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.