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Finding the Fourth Proportional to 669.14, 1,003.80 and 344.30

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Solution

The fourth proportional to 669.14, 1,003.80 and 344.30 is: 516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 1,003.80 = 344.30 : x
  2. Step 2: Convert to fraction form
    669.14/1,003.80 = 344.30/x
  3. Step 3: Cross multiply
    669.14x = 1,003.80 × 344.30
  4. Step 4: Simplify right side
    669.14x = 345,608.34
  5. Step 5: Solve for x
    x = 345,608.34/669.14
  6. Step 6: Final answer
    x = 516.50

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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.