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Finding the Fourth Proportional to 348.47, 480.83 and 201.05

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Solution

The fourth proportional to 348.47, 480.83 and 201.05 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.47 : 480.83 = 201.05 : x
  2. Step 2: Convert to fraction form
    348.47/480.83 = 201.05/x
  3. Step 3: Cross multiply
    348.47x = 480.83 × 201.05
  4. Step 4: Simplify right side
    348.47x = 96,669.87
  5. Step 5: Solve for x
    x = 96,669.87/348.47
  6. Step 6: Final answer
    x = 277.41

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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.