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Finding the Fourth Proportional to 592.96, 818.27 and 327.42

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Solution

The fourth proportional to 592.96, 818.27 and 327.42 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 818.27 = 327.42 : x
  2. Step 2: Convert to fraction form
    592.96/818.27 = 327.42/x
  3. Step 3: Cross multiply
    592.96x = 818.27 × 327.42
  4. Step 4: Simplify right side
    592.96x = 267,917.96
  5. Step 5: Solve for x
    x = 267,917.96/592.96
  6. Step 6: Final answer
    x = 451.83

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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.