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Finding the Fourth Proportional to 896.29, 1,344.41 and 280.28

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Solution

The fourth proportional to 896.29, 1,344.41 and 280.28 is: 420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.29 : 1,344.41 = 280.28 : x
  2. Step 2: Convert to fraction form
    896.29/1,344.41 = 280.28/x
  3. Step 3: Cross multiply
    896.29x = 1,344.41 × 280.28
  4. Step 4: Simplify right side
    896.29x = 376,814.25
  5. Step 5: Solve for x
    x = 376,814.25/896.29
  6. Step 6: Final answer
    x = 420.42

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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.