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Finding the Fourth Proportional to 512.29, 767.04 and 329.13

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Solution

The fourth proportional to 512.29, 767.04 and 329.13 is: 492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.29 : 767.04 = 329.13 : x
  2. Step 2: Convert to fraction form
    512.29/767.04 = 329.13/x
  3. Step 3: Cross multiply
    512.29x = 767.04 × 329.13
  4. Step 4: Simplify right side
    512.29x = 252,454.64
  5. Step 5: Solve for x
    x = 252,454.64/512.29
  6. Step 6: Final answer
    x = 492.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.