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Finding the Fourth Proportional to 391.23, 586.37 and 185.36

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Solution

The fourth proportional to 391.23, 586.37 and 185.36 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.23 : 586.37 = 185.36 : x
  2. Step 2: Convert to fraction form
    391.23/586.37 = 185.36/x
  3. Step 3: Cross multiply
    391.23x = 586.37 × 185.36
  4. Step 4: Simplify right side
    391.23x = 108,687.07
  5. Step 5: Solve for x
    x = 108,687.07/391.23
  6. Step 6: Final answer
    x = 277.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.