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Finding the Fourth Proportional to 719.44, 1,078.44 and 280.42

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Solution

The fourth proportional to 719.44, 1,078.44 and 280.42 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.44 : 1,078.44 = 280.42 : x
  2. Step 2: Convert to fraction form
    719.44/1,078.44 = 280.42/x
  3. Step 3: Cross multiply
    719.44x = 1,078.44 × 280.42
  4. Step 4: Simplify right side
    719.44x = 302,412.05
  5. Step 5: Solve for x
    x = 302,412.05/719.44
  6. Step 6: Final answer
    x = 420.34

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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.