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Finding the Fourth Proportional to 664.22, 996.85 and 460.22

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Solution

The fourth proportional to 664.22, 996.85 and 460.22 is: 690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.22 : 996.85 = 460.22 : x
  2. Step 2: Convert to fraction form
    664.22/996.85 = 460.22/x
  3. Step 3: Cross multiply
    664.22x = 996.85 × 460.22
  4. Step 4: Simplify right side
    664.22x = 458,765.51
  5. Step 5: Solve for x
    x = 458,765.51/664.22
  6. Step 6: Final answer
    x = 690.69

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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.