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Finding the Fourth Proportional to 592.12, 892.69 and 550.36

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Solution

The fourth proportional to 592.12, 892.69 and 550.36 is: 829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 892.69 = 550.36 : x
  2. Step 2: Convert to fraction form
    592.12/892.69 = 550.36/x
  3. Step 3: Cross multiply
    592.12x = 892.69 × 550.36
  4. Step 4: Simplify right side
    592.12x = 491,300.87
  5. Step 5: Solve for x
    x = 491,300.87/592.12
  6. Step 6: Final answer
    x = 829.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.