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Finding the Fourth Proportional to 668.18, 1,000.64 and 408.30

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Solution

The fourth proportional to 668.18, 1,000.64 and 408.30 is: 611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.18 : 1,000.64 = 408.30 : x
  2. Step 2: Convert to fraction form
    668.18/1,000.64 = 408.30/x
  3. Step 3: Cross multiply
    668.18x = 1,000.64 × 408.30
  4. Step 4: Simplify right side
    668.18x = 408,561.31
  5. Step 5: Solve for x
    x = 408,561.31/668.18
  6. Step 6: Final answer
    x = 611.45

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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.