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Finding the Fourth Proportional to 573.75, 791.96 and 340.83

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Solution

The fourth proportional to 573.75, 791.96 and 340.83 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.75 : 791.96 = 340.83 : x
  2. Step 2: Convert to fraction form
    573.75/791.96 = 340.83/x
  3. Step 3: Cross multiply
    573.75x = 791.96 × 340.83
  4. Step 4: Simplify right side
    573.75x = 269,922.02
  5. Step 5: Solve for x
    x = 269,922.02/573.75
  6. Step 6: Final answer
    x = 470.45

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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.