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Finding the Fourth Proportional to 578.56, 865.92 and 481.60

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Solution

The fourth proportional to 578.56, 865.92 and 481.60 is: 720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 865.92 = 481.60 : x
  2. Step 2: Convert to fraction form
    578.56/865.92 = 481.60/x
  3. Step 3: Cross multiply
    578.56x = 865.92 × 481.60
  4. Step 4: Simplify right side
    578.56x = 417,027.07
  5. Step 5: Solve for x
    x = 417,027.07/578.56
  6. Step 6: Final answer
    x = 720.80

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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.