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Finding the Fourth Proportional to 573.59, 791.56 and 311.61

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Solution

The fourth proportional to 573.59, 791.56 and 311.61 is: 430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.59 : 791.56 = 311.61 : x
  2. Step 2: Convert to fraction form
    573.59/791.56 = 311.61/x
  3. Step 3: Cross multiply
    573.59x = 791.56 × 311.61
  4. Step 4: Simplify right side
    573.59x = 246,652.94
  5. Step 5: Solve for x
    x = 246,652.94/573.59
  6. Step 6: Final answer
    x = 430.02

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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.