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Finding the Fourth Proportional to 392.89, 586.39 and 366.97

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Solution

The fourth proportional to 392.89, 586.39 and 366.97 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.89 : 586.39 = 366.97 : x
  2. Step 2: Convert to fraction form
    392.89/586.39 = 366.97/x
  3. Step 3: Cross multiply
    392.89x = 586.39 × 366.97
  4. Step 4: Simplify right side
    392.89x = 215,188.46
  5. Step 5: Solve for x
    x = 215,188.46/392.89
  6. Step 6: Final answer
    x = 547.71

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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.