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Finding the Fourth Proportional to 589.67, 882.68 and 539.27

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Solution

The fourth proportional to 589.67, 882.68 and 539.27 is: 807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.67 : 882.68 = 539.27 : x
  2. Step 2: Convert to fraction form
    589.67/882.68 = 539.27/x
  3. Step 3: Cross multiply
    589.67x = 882.68 × 539.27
  4. Step 4: Simplify right side
    589.67x = 475,995.73
  5. Step 5: Solve for x
    x = 475,995.73/589.67
  6. Step 6: Final answer
    x = 807.23

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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.