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Finding the Fourth Proportional to 325.44, 448.99 and 201.06

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Solution

The fourth proportional to 325.44, 448.99 and 201.06 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 448.99 = 201.06 : x
  2. Step 2: Convert to fraction form
    325.44/448.99 = 201.06/x
  3. Step 3: Cross multiply
    325.44x = 448.99 × 201.06
  4. Step 4: Simplify right side
    325.44x = 90,273.93
  5. Step 5: Solve for x
    x = 90,273.93/325.44
  6. Step 6: Final answer
    x = 277.39

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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.