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Finding the Fourth Proportional to 392.06, 540.06 and 281.36

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Solution

The fourth proportional to 392.06, 540.06 and 281.36 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 540.06 = 281.36 : x
  2. Step 2: Convert to fraction form
    392.06/540.06 = 281.36/x
  3. Step 3: Cross multiply
    392.06x = 540.06 × 281.36
  4. Step 4: Simplify right side
    392.06x = 151,951.28
  5. Step 5: Solve for x
    x = 151,951.28/392.06
  6. Step 6: Final answer
    x = 387.57

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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.