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Finding the Fourth Proportional to 668.15, 1,002.23 and 343.34

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Solution

The fourth proportional to 668.15, 1,002.23 and 343.34 is: 515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.15 : 1,002.23 = 343.34 : x
  2. Step 2: Convert to fraction form
    668.15/1,002.23 = 343.34/x
  3. Step 3: Cross multiply
    668.15x = 1,002.23 × 343.34
  4. Step 4: Simplify right side
    668.15x = 344,105.65
  5. Step 5: Solve for x
    x = 344,105.65/668.15
  6. Step 6: Final answer
    x = 515.01

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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.