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Finding the Fourth Proportional to 792.08, 1,188.16 and 329.60

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Solution

The fourth proportional to 792.08, 1,188.16 and 329.60 is: 494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.08 : 1,188.16 = 329.60 : x
  2. Step 2: Convert to fraction form
    792.08/1,188.16 = 329.60/x
  3. Step 3: Cross multiply
    792.08x = 1,188.16 × 329.60
  4. Step 4: Simplify right side
    792.08x = 391,617.54
  5. Step 5: Solve for x
    x = 391,617.54/792.08
  6. Step 6: Final answer
    x = 494.42

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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.