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Finding the Fourth Proportional to 816.11, 1,224.16 and 268.28

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Solution

The fourth proportional to 816.11, 1,224.16 and 268.28 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.11 : 1,224.16 = 268.28 : x
  2. Step 2: Convert to fraction form
    816.11/1,224.16 = 268.28/x
  3. Step 3: Cross multiply
    816.11x = 1,224.16 × 268.28
  4. Step 4: Simplify right side
    816.11x = 328,417.64
  5. Step 5: Solve for x
    x = 328,417.64/816.11
  6. Step 6: Final answer
    x = 402.42

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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.