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Finding the Fourth Proportional to 393.44, 541.70 and 334.31

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Solution

The fourth proportional to 393.44, 541.70 and 334.31 is: 460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.44 : 541.70 = 334.31 : x
  2. Step 2: Convert to fraction form
    393.44/541.70 = 334.31/x
  3. Step 3: Cross multiply
    393.44x = 541.70 × 334.31
  4. Step 4: Simplify right side
    393.44x = 181,097.53
  5. Step 5: Solve for x
    x = 181,097.53/393.44
  6. Step 6: Final answer
    x = 460.29

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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.