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Finding the Fourth Proportional to 283.88, 393.20 and 262.82

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Solution

The fourth proportional to 283.88, 393.20 and 262.82 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 393.20 = 262.82 : x
  2. Step 2: Convert to fraction form
    283.88/393.20 = 262.82/x
  3. Step 3: Cross multiply
    283.88x = 393.20 × 262.82
  4. Step 4: Simplify right side
    283.88x = 103,340.82
  5. Step 5: Solve for x
    x = 103,340.82/283.88
  6. Step 6: Final answer
    x = 364.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.