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Finding the Fourth Proportional to 589, 812.83 and 327.02

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Solution

The fourth proportional to 589, 812.83 and 327.02 is: 451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 812.83 = 327.02 : x
  2. Step 2: Convert to fraction form
    589/812.83 = 327.02/x
  3. Step 3: Cross multiply
    589x = 812.83 × 327.02
  4. Step 4: Simplify right side
    589x = 265,811.67
  5. Step 5: Solve for x
    x = 265,811.67/589
  6. Step 6: Final answer
    x = 451.29

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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.