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Finding the Fourth Proportional to 843.52, 1,264.32 and 329.92

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Solution

The fourth proportional to 843.52, 1,264.32 and 329.92 is: 494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.52 : 1,264.32 = 329.92 : x
  2. Step 2: Convert to fraction form
    843.52/1,264.32 = 329.92/x
  3. Step 3: Cross multiply
    843.52x = 1,264.32 × 329.92
  4. Step 4: Simplify right side
    843.52x = 417,124.45
  5. Step 5: Solve for x
    x = 417,124.45/843.52
  6. Step 6: Final answer
    x = 494.50

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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.