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Finding the Fourth Proportional to 573.94, 791.73 and 341.02

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Solution

The fourth proportional to 573.94, 791.73 and 341.02 is: 470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.94 : 791.73 = 341.02 : x
  2. Step 2: Convert to fraction form
    573.94/791.73 = 341.02/x
  3. Step 3: Cross multiply
    573.94x = 791.73 × 341.02
  4. Step 4: Simplify right side
    573.94x = 269,995.76
  5. Step 5: Solve for x
    x = 269,995.76/573.94
  6. Step 6: Final answer
    x = 470.43

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Why These Related Problems?

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