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Finding the Fourth Proportional to 392.56, 586.48 and 366.94

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Solution

The fourth proportional to 392.56, 586.48 and 366.94 is: 548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.56 : 586.48 = 366.94 : x
  2. Step 2: Convert to fraction form
    392.56/586.48 = 366.94/x
  3. Step 3: Cross multiply
    392.56x = 586.48 × 366.94
  4. Step 4: Simplify right side
    392.56x = 215,202.97
  5. Step 5: Solve for x
    x = 215,202.97/392.56
  6. Step 6: Final answer
    x = 548.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.