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Finding the Fourth Proportional to 668.10, 1,002.45 and 343.69

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Solution

The fourth proportional to 668.10, 1,002.45 and 343.69 is: 515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.10 : 1,002.45 = 343.69 : x
  2. Step 2: Convert to fraction form
    668.10/1,002.45 = 343.69/x
  3. Step 3: Cross multiply
    668.10x = 1,002.45 × 343.69
  4. Step 4: Simplify right side
    668.10x = 344,532.04
  5. Step 5: Solve for x
    x = 344,532.04/668.10
  6. Step 6: Final answer
    x = 515.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.