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Finding the Fourth Proportional to 571.84, 789.16 and 323.22

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Solution

The fourth proportional to 571.84, 789.16 and 323.22 is: 446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 789.16 = 323.22 : x
  2. Step 2: Convert to fraction form
    571.84/789.16 = 323.22/x
  3. Step 3: Cross multiply
    571.84x = 789.16 × 323.22
  4. Step 4: Simplify right side
    571.84x = 255,072.30
  5. Step 5: Solve for x
    x = 255,072.30/571.84
  6. Step 6: Final answer
    x = 446.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.