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Finding the Fourth Proportional to 893.20, 1,339.84 and 308.20

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Solution

The fourth proportional to 893.20, 1,339.84 and 308.20 is: 462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.20 : 1,339.84 = 308.20 : x
  2. Step 2: Convert to fraction form
    893.20/1,339.84 = 308.20/x
  3. Step 3: Cross multiply
    893.20x = 1,339.84 × 308.20
  4. Step 4: Simplify right side
    893.20x = 412,938.69
  5. Step 5: Solve for x
    x = 412,938.69/893.20
  6. Step 6: Final answer
    x = 462.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.