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Finding the Fourth Proportional to 592.70, 817.94 and 327.15

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Solution

The fourth proportional to 592.70, 817.94 and 327.15 is: 451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 817.94 = 327.15 : x
  2. Step 2: Convert to fraction form
    592.70/817.94 = 327.15/x
  3. Step 3: Cross multiply
    592.70x = 817.94 × 327.15
  4. Step 4: Simplify right side
    592.70x = 267,589.89
  5. Step 5: Solve for x
    x = 267,589.89/592.70
  6. Step 6: Final answer
    x = 451.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.