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Finding the Fourth Proportional to 896.17, 1,344.26 and 280.01

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Solution

The fourth proportional to 896.17, 1,344.26 and 280.01 is: 420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.17 : 1,344.26 = 280.01 : x
  2. Step 2: Convert to fraction form
    896.17/1,344.26 = 280.01/x
  3. Step 3: Cross multiply
    896.17x = 1,344.26 × 280.01
  4. Step 4: Simplify right side
    896.17x = 376,406.24
  5. Step 5: Solve for x
    x = 376,406.24/896.17
  6. Step 6: Final answer
    x = 420.02

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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.