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Finding the Fourth Proportional to 573.14, 791.37 and 405.47

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Solution

The fourth proportional to 573.14, 791.37 and 405.47 is: 559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.14 : 791.37 = 405.47 : x
  2. Step 2: Convert to fraction form
    573.14/791.37 = 405.47/x
  3. Step 3: Cross multiply
    573.14x = 791.37 × 405.47
  4. Step 4: Simplify right side
    573.14x = 320,878.77
  5. Step 5: Solve for x
    x = 320,878.77/573.14
  6. Step 6: Final answer
    x = 559.86

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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.