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Finding the Fourth Proportional to 563.01, 843.39 and 280.73

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Solution

The fourth proportional to 563.01, 843.39 and 280.73 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.01 : 843.39 = 280.73 : x
  2. Step 2: Convert to fraction form
    563.01/843.39 = 280.73/x
  3. Step 3: Cross multiply
    563.01x = 843.39 × 280.73
  4. Step 4: Simplify right side
    563.01x = 236,759.82
  5. Step 5: Solve for x
    x = 236,759.82/563.01
  6. Step 6: Final answer
    x = 420.52

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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.