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Finding the Fourth Proportional to 483.83, 667.67 and 262.78

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Solution

The fourth proportional to 483.83, 667.67 and 262.78 is: 362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.83 : 667.67 = 262.78 : x
  2. Step 2: Convert to fraction form
    483.83/667.67 = 262.78/x
  3. Step 3: Cross multiply
    483.83x = 667.67 × 262.78
  4. Step 4: Simplify right side
    483.83x = 175,450.83
  5. Step 5: Solve for x
    x = 175,450.83/483.83
  6. Step 6: Final answer
    x = 362.63

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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.