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Finding the Fourth Proportional to 668.65, 1,004.40 and 408.78

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Solution

The fourth proportional to 668.65, 1,004.40 and 408.78 is: 614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.65 : 1,004.40 = 408.78 : x
  2. Step 2: Convert to fraction form
    668.65/1,004.40 = 408.78/x
  3. Step 3: Cross multiply
    668.65x = 1,004.40 × 408.78
  4. Step 4: Simplify right side
    668.65x = 410,578.63
  5. Step 5: Solve for x
    x = 410,578.63/668.65
  6. Step 6: Final answer
    x = 614.04

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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.