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Finding the Fourth Proportional to 573.84, 791.90 and 311.86

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Solution

The fourth proportional to 573.84, 791.90 and 311.86 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 791.90 = 311.86 : x
  2. Step 2: Convert to fraction form
    573.84/791.90 = 311.86/x
  3. Step 3: Cross multiply
    573.84x = 791.90 × 311.86
  4. Step 4: Simplify right side
    573.84x = 246,961.93
  5. Step 5: Solve for x
    x = 246,961.93/573.84
  6. Step 6: Final answer
    x = 430.37

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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.