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Finding the Fourth Proportional to 804.09, 1,206.24 and 226.97

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Solution

The fourth proportional to 804.09, 1,206.24 and 226.97 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.09 : 1,206.24 = 226.97 : x
  2. Step 2: Convert to fraction form
    804.09/1,206.24 = 226.97/x
  3. Step 3: Cross multiply
    804.09x = 1,206.24 × 226.97
  4. Step 4: Simplify right side
    804.09x = 273,779.21
  5. Step 5: Solve for x
    x = 273,779.21/804.09
  6. Step 6: Final answer
    x = 340.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.