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Finding the Fourth Proportional to 668.29, 1,002.02 and 343.48

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Solution

The fourth proportional to 668.29, 1,002.02 and 343.48 is: 515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.29 : 1,002.02 = 343.48 : x
  2. Step 2: Convert to fraction form
    668.29/1,002.02 = 343.48/x
  3. Step 3: Cross multiply
    668.29x = 1,002.02 × 343.48
  4. Step 4: Simplify right side
    668.29x = 344,173.83
  5. Step 5: Solve for x
    x = 344,173.83/668.29
  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.