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Finding the Fourth Proportional to 816.09, 1,224.25 and 268.15

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Solution

The fourth proportional to 816.09, 1,224.25 and 268.15 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.09 : 1,224.25 = 268.15 : x
  2. Step 2: Convert to fraction form
    816.09/1,224.25 = 268.15/x
  3. Step 3: Cross multiply
    816.09x = 1,224.25 × 268.15
  4. Step 4: Simplify right side
    816.09x = 328,282.64
  5. Step 5: Solve for x
    x = 328,282.64/816.09
  6. Step 6: Final answer
    x = 402.26

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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.