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Finding the Fourth Proportional to 392.96, 541.96 and 330.94

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Solution

The fourth proportional to 392.96, 541.96 and 330.94 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.96 : 541.96 = 330.94 : x
  2. Step 2: Convert to fraction form
    392.96/541.96 = 330.94/x
  3. Step 3: Cross multiply
    392.96x = 541.96 × 330.94
  4. Step 4: Simplify right side
    392.96x = 179,354.06
  5. Step 5: Solve for x
    x = 179,354.06/392.96
  6. Step 6: Final answer
    x = 456.42

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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.