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Finding the Fourth Proportional to 668.40, 1,004.48 and 344

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Solution

The fourth proportional to 668.40, 1,004.48 and 344 is: 516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.40 : 1,004.48 = 344 : x
  2. Step 2: Convert to fraction form
    668.40/1,004.48 = 344/x
  3. Step 3: Cross multiply
    668.40x = 1,004.48 × 344
  4. Step 4: Simplify right side
    668.40x = 345,541.12
  5. Step 5: Solve for x
    x = 345,541.12/668.40
  6. Step 6: Final answer
    x = 516.97

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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.