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Finding the Fourth Proportional to 896.15, 1,344.38 and 279.71

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Solution

The fourth proportional to 896.15, 1,344.38 and 279.71 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.15 : 1,344.38 = 279.71 : x
  2. Step 2: Convert to fraction form
    896.15/1,344.38 = 279.71/x
  3. Step 3: Cross multiply
    896.15x = 1,344.38 × 279.71
  4. Step 4: Simplify right side
    896.15x = 376,028.41
  5. Step 5: Solve for x
    x = 376,028.41/896.15
  6. Step 6: Final answer
    x = 419.61

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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.