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Finding the Fourth Proportional to 749.28, 1,123.93 and 280.86

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Solution

The fourth proportional to 749.28, 1,123.93 and 280.86 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.28 : 1,123.93 = 280.86 : x
  2. Step 2: Convert to fraction form
    749.28/1,123.93 = 280.86/x
  3. Step 3: Cross multiply
    749.28x = 1,123.93 × 280.86
  4. Step 4: Simplify right side
    749.28x = 315,666.98
  5. Step 5: Solve for x
    x = 315,666.98/749.28
  6. Step 6: Final answer
    x = 421.29

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