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Finding the Fourth Proportional to 431.88, 646.74 and 408.66

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Solution

The fourth proportional to 431.88, 646.74 and 408.66 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.88 : 646.74 = 408.66 : x
  2. Step 2: Convert to fraction form
    431.88/646.74 = 408.66/x
  3. Step 3: Cross multiply
    431.88x = 646.74 × 408.66
  4. Step 4: Simplify right side
    431.88x = 264,296.77
  5. Step 5: Solve for x
    x = 264,296.77/431.88
  6. Step 6: Final answer
    x = 611.97

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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.