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Finding the Fourth Proportional to 592.87, 818.20 and 327.31

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Solution

The fourth proportional to 592.87, 818.20 and 327.31 is: 451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.87 : 818.20 = 327.31 : x
  2. Step 2: Convert to fraction form
    592.87/818.20 = 327.31/x
  3. Step 3: Cross multiply
    592.87x = 818.20 × 327.31
  4. Step 4: Simplify right side
    592.87x = 267,802.18
  5. Step 5: Solve for x
    x = 267,802.18/592.87
  6. Step 6: Final answer
    x = 451.71

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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.