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Finding the Fourth Proportional to 768.36, 1,152.36 and 220.53

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Solution

The fourth proportional to 768.36, 1,152.36 and 220.53 is: 330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.36 : 1,152.36 = 220.53 : x
  2. Step 2: Convert to fraction form
    768.36/1,152.36 = 220.53/x
  3. Step 3: Cross multiply
    768.36x = 1,152.36 × 220.53
  4. Step 4: Simplify right side
    768.36x = 254,129.95
  5. Step 5: Solve for x
    x = 254,129.95/768.36
  6. Step 6: Final answer
    x = 330.74

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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.