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Finding the Fourth Proportional to 806.15, 1,209.23 and 343.44

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Solution

The fourth proportional to 806.15, 1,209.23 and 343.44 is: 515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.15 : 1,209.23 = 343.44 : x
  2. Step 2: Convert to fraction form
    806.15/1,209.23 = 343.44/x
  3. Step 3: Cross multiply
    806.15x = 1,209.23 × 343.44
  4. Step 4: Simplify right side
    806.15x = 415,296.23
  5. Step 5: Solve for x
    x = 415,296.23/806.15
  6. Step 6: Final answer
    x = 515.16

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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.