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Finding the Fourth Proportional to 668.28, 1,002.51 and 235.35

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Solution

The fourth proportional to 668.28, 1,002.51 and 235.35 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.28 : 1,002.51 = 235.35 : x
  2. Step 2: Convert to fraction form
    668.28/1,002.51 = 235.35/x
  3. Step 3: Cross multiply
    668.28x = 1,002.51 × 235.35
  4. Step 4: Simplify right side
    668.28x = 235,940.73
  5. Step 5: Solve for x
    x = 235,940.73/668.28
  6. Step 6: Final answer
    x = 353.06

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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.