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Finding the Fourth Proportional to 804.06, 1,206.22 and 341.84

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Solution

The fourth proportional to 804.06, 1,206.22 and 341.84 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.06 : 1,206.22 = 341.84 : x
  2. Step 2: Convert to fraction form
    804.06/1,206.22 = 341.84/x
  3. Step 3: Cross multiply
    804.06x = 1,206.22 × 341.84
  4. Step 4: Simplify right side
    804.06x = 412,338.77
  5. Step 5: Solve for x
    x = 412,338.77/804.06
  6. Step 6: Final answer
    x = 512.82

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