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Finding the Fourth Proportional to 668.80, 922.94 and 374.07

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Solution

The fourth proportional to 668.80, 922.94 and 374.07 is: 516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.80 : 922.94 = 374.07 : x
  2. Step 2: Convert to fraction form
    668.80/922.94 = 374.07/x
  3. Step 3: Cross multiply
    668.80x = 922.94 × 374.07
  4. Step 4: Simplify right side
    668.80x = 345,245.10
  5. Step 5: Solve for x
    x = 345,245.10/668.80
  6. Step 6: Final answer
    x = 516.22

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Why These Related Problems?

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