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Finding the Fourth Proportional to 884.53, 1,326.81 and 268.16

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Solution

The fourth proportional to 884.53, 1,326.81 and 268.16 is: 402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.53 : 1,326.81 = 268.16 : x
  2. Step 2: Convert to fraction form
    884.53/1,326.81 = 268.16/x
  3. Step 3: Cross multiply
    884.53x = 1,326.81 × 268.16
  4. Step 4: Simplify right side
    884.53x = 355,791.74
  5. Step 5: Solve for x
    x = 355,791.74/884.53
  6. Step 6: Final answer
    x = 402.24

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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.