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Finding the Fourth Proportional to 835.01, 1,252.57 and 218.73

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Solution

The fourth proportional to 835.01, 1,252.57 and 218.73 is: 328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.01 : 1,252.57 = 218.73 : x
  2. Step 2: Convert to fraction form
    835.01/1,252.57 = 218.73/x
  3. Step 3: Cross multiply
    835.01x = 1,252.57 × 218.73
  4. Step 4: Simplify right side
    835.01x = 273,974.64
  5. Step 5: Solve for x
    x = 273,974.64/835.01
  6. Step 6: Final answer
    x = 328.11

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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.