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Finding the Fourth Proportional to 792.32, 1,187.96 and 330.32

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Solution

The fourth proportional to 792.32, 1,187.96 and 330.32 is: 495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,187.96 = 330.32 : x
  2. Step 2: Convert to fraction form
    792.32/1,187.96 = 330.32/x
  3. Step 3: Cross multiply
    792.32x = 1,187.96 × 330.32
  4. Step 4: Simplify right side
    792.32x = 392,406.95
  5. Step 5: Solve for x
    x = 392,406.95/792.32
  6. Step 6: Final answer
    x = 495.26

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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.