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Finding the Fourth Proportional to 719.46, 1,078.46 and 280.44

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Solution

The fourth proportional to 719.46, 1,078.46 and 280.44 is: 420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 1,078.46 = 280.44 : x
  2. Step 2: Convert to fraction form
    719.46/1,078.46 = 280.44/x
  3. Step 3: Cross multiply
    719.46x = 1,078.46 × 280.44
  4. Step 4: Simplify right side
    719.46x = 302,441.92
  5. Step 5: Solve for x
    x = 302,441.92/719.46
  6. Step 6: Final answer
    x = 420.37

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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.