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Finding the Fourth Proportional to 668.38, 1,002 and 257.23

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Solution

The fourth proportional to 668.38, 1,002 and 257.23 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.38 : 1,002 = 257.23 : x
  2. Step 2: Convert to fraction form
    668.38/1,002 = 257.23/x
  3. Step 3: Cross multiply
    668.38x = 1,002 × 257.23
  4. Step 4: Simplify right side
    668.38x = 257,744.46
  5. Step 5: Solve for x
    x = 257,744.46/668.38
  6. Step 6: Final answer
    x = 385.63

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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.