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Finding the Fourth Proportional to 538.24, 806.56 and 280.96

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Solution

The fourth proportional to 538.24, 806.56 and 280.96 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 806.56 = 280.96 : x
  2. Step 2: Convert to fraction form
    538.24/806.56 = 280.96/x
  3. Step 3: Cross multiply
    538.24x = 806.56 × 280.96
  4. Step 4: Simplify right side
    538.24x = 226,611.10
  5. Step 5: Solve for x
    x = 226,611.10/538.24
  6. Step 6: Final answer
    x = 421.02

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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.