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Finding the Fourth Proportional to 843.40, 1,265.24 and 323.38

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Solution

The fourth proportional to 843.40, 1,265.24 and 323.38 is: 485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.40 : 1,265.24 = 323.38 : x
  2. Step 2: Convert to fraction form
    843.40/1,265.24 = 323.38/x
  3. Step 3: Cross multiply
    843.40x = 1,265.24 × 323.38
  4. Step 4: Simplify right side
    843.40x = 409,153.31
  5. Step 5: Solve for x
    x = 409,153.31/843.40
  6. Step 6: Final answer
    x = 485.12

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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.