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Finding the Fourth Proportional to 668.96, 1,004.30 and 395.28

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Solution

The fourth proportional to 668.96, 1,004.30 and 395.28 is: 593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.96 : 1,004.30 = 395.28 : x
  2. Step 2: Convert to fraction form
    668.96/1,004.30 = 395.28/x
  3. Step 3: Cross multiply
    668.96x = 1,004.30 × 395.28
  4. Step 4: Simplify right side
    668.96x = 396,979.21
  5. Step 5: Solve for x
    x = 396,979.21/668.96
  6. Step 6: Final answer
    x = 593.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.