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Finding the Fourth Proportional to 386.56, 533.44 and 334.72

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Solution

The fourth proportional to 386.56, 533.44 and 334.72 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.56 : 533.44 = 334.72 : x
  2. Step 2: Convert to fraction form
    386.56/533.44 = 334.72/x
  3. Step 3: Cross multiply
    386.56x = 533.44 × 334.72
  4. Step 4: Simplify right side
    386.56x = 178,553.04
  5. Step 5: Solve for x
    x = 178,553.04/386.56
  6. Step 6: Final answer
    x = 461.90

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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.