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Finding the Fourth Proportional to 589.95, 814.14 and 327.96

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Solution

The fourth proportional to 589.95, 814.14 and 327.96 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 814.14 = 327.96 : x
  2. Step 2: Convert to fraction form
    589.95/814.14 = 327.96/x
  3. Step 3: Cross multiply
    589.95x = 814.14 × 327.96
  4. Step 4: Simplify right side
    589.95x = 267,005.35
  5. Step 5: Solve for x
    x = 267,005.35/589.95
  6. Step 6: Final answer
    x = 452.59

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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.