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Finding the Fourth Proportional to 883.21, 1,323.72 and 305.41

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Solution

The fourth proportional to 883.21, 1,323.72 and 305.41 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.21 : 1,323.72 = 305.41 : x
  2. Step 2: Convert to fraction form
    883.21/1,323.72 = 305.41/x
  3. Step 3: Cross multiply
    883.21x = 1,323.72 × 305.41
  4. Step 4: Simplify right side
    883.21x = 404,277.33
  5. Step 5: Solve for x
    x = 404,277.33/883.21
  6. Step 6: Final answer
    x = 457.74

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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.