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Finding the Fourth Proportional to 275.84, 380.46 and 238.94

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Solution

The fourth proportional to 275.84, 380.46 and 238.94 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 380.46 = 238.94 : x
  2. Step 2: Convert to fraction form
    275.84/380.46 = 238.94/x
  3. Step 3: Cross multiply
    275.84x = 380.46 × 238.94
  4. Step 4: Simplify right side
    275.84x = 90,907.11
  5. Step 5: Solve for x
    x = 90,907.11/275.84
  6. Step 6: Final answer
    x = 329.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.