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Finding the Fourth Proportional to 386.94, 533.46 and 331.44

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Solution

The fourth proportional to 386.94, 533.46 and 331.44 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 533.46 = 331.44 : x
  2. Step 2: Convert to fraction form
    386.94/533.46 = 331.44/x
  3. Step 3: Cross multiply
    386.94x = 533.46 × 331.44
  4. Step 4: Simplify right side
    386.94x = 176,809.98
  5. Step 5: Solve for x
    x = 176,809.98/386.94
  6. Step 6: Final answer
    x = 456.94

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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.