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Finding the Fourth Proportional to 573.72, 791.64 and 340.89

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Solution

The fourth proportional to 573.72, 791.64 and 340.89 is: 470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.72 : 791.64 = 340.89 : x
  2. Step 2: Convert to fraction form
    573.72/791.64 = 340.89/x
  3. Step 3: Cross multiply
    573.72x = 791.64 × 340.89
  4. Step 4: Simplify right side
    573.72x = 269,862.16
  5. Step 5: Solve for x
    x = 269,862.16/573.72
  6. Step 6: Final answer
    x = 470.37

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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.