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Finding the Fourth Proportional to 466.00, 698.41 and 408.08

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Solution

The fourth proportional to 466.00, 698.41 and 408.08 is: 611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.00 : 698.41 = 408.08 : x
  2. Step 2: Convert to fraction form
    466.00/698.41 = 408.08/x
  3. Step 3: Cross multiply
    466.00x = 698.41 × 408.08
  4. Step 4: Simplify right side
    466.00x = 285,006.13
  5. Step 5: Solve for x
    x = 285,006.13/466.00
  6. Step 6: Final answer
    x = 611.61

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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.