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Finding the Fourth Proportional to 843.36, 1,264.64 and 265.92

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Solution

The fourth proportional to 843.36, 1,264.64 and 265.92 is: 398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.36 : 1,264.64 = 265.92 : x
  2. Step 2: Convert to fraction form
    843.36/1,264.64 = 265.92/x
  3. Step 3: Cross multiply
    843.36x = 1,264.64 × 265.92
  4. Step 4: Simplify right side
    843.36x = 336,293.07
  5. Step 5: Solve for x
    x = 336,293.07/843.36
  6. Step 6: Final answer
    x = 398.75

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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.