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Finding the Fourth Proportional to 288.36, 398.07 and 273.33

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Solution

The fourth proportional to 288.36, 398.07 and 273.33 is: 377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 398.07 = 273.33 : x
  2. Step 2: Convert to fraction form
    288.36/398.07 = 273.33/x
  3. Step 3: Cross multiply
    288.36x = 398.07 × 273.33
  4. Step 4: Simplify right side
    288.36x = 108,804.47
  5. Step 5: Solve for x
    x = 108,804.47/288.36
  6. Step 6: Final answer
    x = 377.32

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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.