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Finding the Fourth Proportional to 392.22, 541.17 and 294.21

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Solution

The fourth proportional to 392.22, 541.17 and 294.21 is: 405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.22 : 541.17 = 294.21 : x
  2. Step 2: Convert to fraction form
    392.22/541.17 = 294.21/x
  3. Step 3: Cross multiply
    392.22x = 541.17 × 294.21
  4. Step 4: Simplify right side
    392.22x = 159,217.63
  5. Step 5: Solve for x
    x = 159,217.63/392.22
  6. Step 6: Final answer
    x = 405.94

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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.