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Finding the Fourth Proportional to 668.69, 1,003.19 and 235.83

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Solution

The fourth proportional to 668.69, 1,003.19 and 235.83 is: 353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.69 : 1,003.19 = 235.83 : x
  2. Step 2: Convert to fraction form
    668.69/1,003.19 = 235.83/x
  3. Step 3: Cross multiply
    668.69x = 1,003.19 × 235.83
  4. Step 4: Simplify right side
    668.69x = 236,581.12
  5. Step 5: Solve for x
    x = 236,581.12/668.69
  6. Step 6: Final answer
    x = 353.80

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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.