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Finding the Fourth Proportional to 850.77, 1,276.23 and 295.58

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Solution

The fourth proportional to 850.77, 1,276.23 and 295.58 is: 443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.77 : 1,276.23 = 295.58 : x
  2. Step 2: Convert to fraction form
    850.77/1,276.23 = 295.58/x
  3. Step 3: Cross multiply
    850.77x = 1,276.23 × 295.58
  4. Step 4: Simplify right side
    850.77x = 377,221.68
  5. Step 5: Solve for x
    x = 377,221.68/850.77
  6. Step 6: Final answer
    x = 443.39

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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.