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Finding the Fourth Proportional to 389.06, 582.83 and 258.68

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Solution

The fourth proportional to 389.06, 582.83 and 258.68 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.06 : 582.83 = 258.68 : x
  2. Step 2: Convert to fraction form
    389.06/582.83 = 258.68/x
  3. Step 3: Cross multiply
    389.06x = 582.83 × 258.68
  4. Step 4: Simplify right side
    389.06x = 150,769.05
  5. Step 5: Solve for x
    x = 150,769.05/389.06
  6. Step 6: Final answer
    x = 387.52

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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.