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Finding the Fourth Proportional to 283.60, 388.86 and 255.86

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Solution

The fourth proportional to 283.60, 388.86 and 255.86 is: 350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.60 : 388.86 = 255.86 : x
  2. Step 2: Convert to fraction form
    283.60/388.86 = 255.86/x
  3. Step 3: Cross multiply
    283.60x = 388.86 × 255.86
  4. Step 4: Simplify right side
    283.60x = 99,493.72
  5. Step 5: Solve for x
    x = 99,493.72/283.60
  6. Step 6: Final answer
    x = 350.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.