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Finding the Fourth Proportional to 767.20, 1,151.04 and 328.22

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Solution

The fourth proportional to 767.20, 1,151.04 and 328.22 is: 492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.20 : 1,151.04 = 328.22 : x
  2. Step 2: Convert to fraction form
    767.20/1,151.04 = 328.22/x
  3. Step 3: Cross multiply
    767.20x = 1,151.04 × 328.22
  4. Step 4: Simplify right side
    767.20x = 377,794.35
  5. Step 5: Solve for x
    x = 377,794.35/767.20
  6. Step 6: Final answer
    x = 492.43

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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.