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Finding the Fourth Proportional to 816.29, 1,224.61 and 268.44

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Solution

The fourth proportional to 816.29, 1,224.61 and 268.44 is: 402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.29 : 1,224.61 = 268.44 : x
  2. Step 2: Convert to fraction form
    816.29/1,224.61 = 268.44/x
  3. Step 3: Cross multiply
    816.29x = 1,224.61 × 268.44
  4. Step 4: Simplify right side
    816.29x = 328,732.97
  5. Step 5: Solve for x
    x = 328,732.97/816.29
  6. Step 6: Final answer
    x = 402.72

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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.