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Finding the Fourth Proportional to 815.83, 1,223.97 and 268.09

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Solution

The fourth proportional to 815.83, 1,223.97 and 268.09 is: 402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.83 : 1,223.97 = 268.09 : x
  2. Step 2: Convert to fraction form
    815.83/1,223.97 = 268.09/x
  3. Step 3: Cross multiply
    815.83x = 1,223.97 × 268.09
  4. Step 4: Simplify right side
    815.83x = 328,134.12
  5. Step 5: Solve for x
    x = 328,134.12/815.83
  6. Step 6: Final answer
    x = 402.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.