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Finding the Fourth Proportional to 580.98, 871.74 and 364.44

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Solution

The fourth proportional to 580.98, 871.74 and 364.44 is: 546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.98 : 871.74 = 364.44 : x
  2. Step 2: Convert to fraction form
    580.98/871.74 = 364.44/x
  3. Step 3: Cross multiply
    580.98x = 871.74 × 364.44
  4. Step 4: Simplify right side
    580.98x = 317,696.93
  5. Step 5: Solve for x
    x = 317,696.93/580.98
  6. Step 6: Final answer
    x = 546.83

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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.