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Finding the Fourth Proportional to 573.16, 791.61 and 377.54

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Solution

The fourth proportional to 573.16, 791.61 and 377.54 is: 521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.16 : 791.61 = 377.54 : x
  2. Step 2: Convert to fraction form
    573.16/791.61 = 377.54/x
  3. Step 3: Cross multiply
    573.16x = 791.61 × 377.54
  4. Step 4: Simplify right side
    573.16x = 298,864.44
  5. Step 5: Solve for x
    x = 298,864.44/573.16
  6. Step 6: Final answer
    x = 521.43

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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.