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Finding the Fourth Proportional to 668.44, 923.03 and 420.19

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Solution

The fourth proportional to 668.44, 923.03 and 420.19 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.44 : 923.03 = 420.19 : x
  2. Step 2: Convert to fraction form
    668.44/923.03 = 420.19/x
  3. Step 3: Cross multiply
    668.44x = 923.03 × 420.19
  4. Step 4: Simplify right side
    668.44x = 387,847.98
  5. Step 5: Solve for x
    x = 387,847.98/668.44
  6. Step 6: Final answer
    x = 580.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.