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Finding the Fourth Proportional to 392.92, 541.92 and 268.72

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Solution

The fourth proportional to 392.92, 541.92 and 268.72 is: 370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 541.92 = 268.72 : x
  2. Step 2: Convert to fraction form
    392.92/541.92 = 268.72/x
  3. Step 3: Cross multiply
    392.92x = 541.92 × 268.72
  4. Step 4: Simplify right side
    392.92x = 145,624.74
  5. Step 5: Solve for x
    x = 145,624.74/392.92
  6. Step 6: Final answer
    x = 370.62

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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.