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Finding the Fourth Proportional to 283.37, 389.64 and 274.73

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Solution

The fourth proportional to 283.37, 389.64 and 274.73 is: 377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.37 : 389.64 = 274.73 : x
  2. Step 2: Convert to fraction form
    283.37/389.64 = 274.73/x
  3. Step 3: Cross multiply
    283.37x = 389.64 × 274.73
  4. Step 4: Simplify right side
    283.37x = 107,044.88
  5. Step 5: Solve for x
    x = 107,044.88/283.37
  6. Step 6: Final answer
    x = 377.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.