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Finding the Fourth Proportional to 589.33, 813.29 and 327.34

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Solution

The fourth proportional to 589.33, 813.29 and 327.34 is: 451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.33 : 813.29 = 327.34 : x
  2. Step 2: Convert to fraction form
    589.33/813.29 = 327.34/x
  3. Step 3: Cross multiply
    589.33x = 813.29 × 327.34
  4. Step 4: Simplify right side
    589.33x = 266,218.68
  5. Step 5: Solve for x
    x = 266,218.68/589.33
  6. Step 6: Final answer
    x = 451.73

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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.