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Finding the Fourth Proportional to 843.04, 1,264 and 329.92

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Solution

The fourth proportional to 843.04, 1,264 and 329.92 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.04 : 1,264 = 329.92 : x
  2. Step 2: Convert to fraction form
    843.04/1,264 = 329.92/x
  3. Step 3: Cross multiply
    843.04x = 1,264 × 329.92
  4. Step 4: Simplify right side
    843.04x = 417,018.88
  5. Step 5: Solve for x
    x = 417,018.88/843.04
  6. Step 6: Final answer
    x = 494.66

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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.