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Finding the Fourth Proportional to 283.14, 388.20 and 282.69

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Solution

The fourth proportional to 283.14, 388.20 and 282.69 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 388.20 = 282.69 : x
  2. Step 2: Convert to fraction form
    283.14/388.20 = 282.69/x
  3. Step 3: Cross multiply
    283.14x = 388.20 × 282.69
  4. Step 4: Simplify right side
    283.14x = 109,736.90
  5. Step 5: Solve for x
    x = 109,736.90/283.14
  6. Step 6: Final answer
    x = 387.57

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Why These Related Problems?

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