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Finding the Fourth Proportional to 589.22, 884.31 and 300.74

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Solution

The fourth proportional to 589.22, 884.31 and 300.74 is: 451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 884.31 = 300.74 : x
  2. Step 2: Convert to fraction form
    589.22/884.31 = 300.74/x
  3. Step 3: Cross multiply
    589.22x = 884.31 × 300.74
  4. Step 4: Simplify right side
    589.22x = 265,947.39
  5. Step 5: Solve for x
    x = 265,947.39/589.22
  6. Step 6: Final answer
    x = 451.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.