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Finding the Fourth Proportional to 768.39, 1,152.38 and 220.57

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Solution

The fourth proportional to 768.39, 1,152.38 and 220.57 is: 330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.39 : 1,152.38 = 220.57 : x
  2. Step 2: Convert to fraction form
    768.39/1,152.38 = 220.57/x
  3. Step 3: Cross multiply
    768.39x = 1,152.38 × 220.57
  4. Step 4: Simplify right side
    768.39x = 254,180.46
  5. Step 5: Solve for x
    x = 254,180.46/768.39
  6. Step 6: Final answer
    x = 330.80

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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.