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Finding the Fourth Proportional to 588.99, 882.77 and 516.99

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Solution

The fourth proportional to 588.99, 882.77 and 516.99 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.99 : 882.77 = 516.99 : x
  2. Step 2: Convert to fraction form
    588.99/882.77 = 516.99/x
  3. Step 3: Cross multiply
    588.99x = 882.77 × 516.99
  4. Step 4: Simplify right side
    588.99x = 456,380.68
  5. Step 5: Solve for x
    x = 456,380.68/588.99
  6. Step 6: Final answer
    x = 774.85

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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.