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Finding the Fourth Proportional to 896.74, 1,345 and 280.42

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Solution

The fourth proportional to 896.74, 1,345 and 280.42 is: 420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.74 : 1,345 = 280.42 : x
  2. Step 2: Convert to fraction form
    896.74/1,345 = 280.42/x
  3. Step 3: Cross multiply
    896.74x = 1,345 × 280.42
  4. Step 4: Simplify right side
    896.74x = 377,164.90
  5. Step 5: Solve for x
    x = 377,164.90/896.74
  6. Step 6: Final answer
    x = 420.60

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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.