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Finding the Fourth Proportional to 792.30, 1,188.75 and 329.96

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Solution

The fourth proportional to 792.30, 1,188.75 and 329.96 is: 495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.30 : 1,188.75 = 329.96 : x
  2. Step 2: Convert to fraction form
    792.30/1,188.75 = 329.96/x
  3. Step 3: Cross multiply
    792.30x = 1,188.75 × 329.96
  4. Step 4: Simplify right side
    792.30x = 392,234.01
  5. Step 5: Solve for x
    x = 392,234.01/792.30
  6. Step 6: Final answer
    x = 495.06

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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.