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Finding the Fourth Proportional to 851.58, 1,276.61 and 364.37

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Solution

The fourth proportional to 851.58, 1,276.61 and 364.37 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.58 : 1,276.61 = 364.37 : x
  2. Step 2: Convert to fraction form
    851.58/1,276.61 = 364.37/x
  3. Step 3: Cross multiply
    851.58x = 1,276.61 × 364.37
  4. Step 4: Simplify right side
    851.58x = 465,150.18
  5. Step 5: Solve for x
    x = 465,150.18/851.58
  6. Step 6: Final answer
    x = 546.22

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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.