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Finding the Fourth Proportional to 273.33, 412.83 and 273.33

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Solution

The fourth proportional to 273.33, 412.83 and 273.33 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.33 : 412.83 = 273.33 : x
  2. Step 2: Convert to fraction form
    273.33/412.83 = 273.33/x
  3. Step 3: Cross multiply
    273.33x = 412.83 × 273.33
  4. Step 4: Simplify right side
    273.33x = 112,838.82
  5. Step 5: Solve for x
    x = 112,838.82/273.33
  6. Step 6: Final answer
    x = 412.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.