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Finding the Fourth Proportional to 573.82, 791.88 and 337.78

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Solution

The fourth proportional to 573.82, 791.88 and 337.78 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.82 : 791.88 = 337.78 : x
  2. Step 2: Convert to fraction form
    573.82/791.88 = 337.78/x
  3. Step 3: Cross multiply
    573.82x = 791.88 × 337.78
  4. Step 4: Simplify right side
    573.82x = 267,477.56
  5. Step 5: Solve for x
    x = 267,477.56/573.82
  6. Step 6: Final answer
    x = 466.13

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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.