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Finding the Fourth Proportional to 450.83, 622.12 and 273.81

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Solution

The fourth proportional to 450.83, 622.12 and 273.81 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.83 : 622.12 = 273.81 : x
  2. Step 2: Convert to fraction form
    450.83/622.12 = 273.81/x
  3. Step 3: Cross multiply
    450.83x = 622.12 × 273.81
  4. Step 4: Simplify right side
    450.83x = 170,339.57
  5. Step 5: Solve for x
    x = 170,339.57/450.83
  6. Step 6: Final answer
    x = 377.84

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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.