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Finding the Fourth Proportional to 664.60, 995.55 and 420.26

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Solution

The fourth proportional to 664.60, 995.55 and 420.26 is: 629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 995.55 = 420.26 : x
  2. Step 2: Convert to fraction form
    664.60/995.55 = 420.26/x
  3. Step 3: Cross multiply
    664.60x = 995.55 × 420.26
  4. Step 4: Simplify right side
    664.60x = 418,389.84
  5. Step 5: Solve for x
    x = 418,389.84/664.60
  6. Step 6: Final answer
    x = 629.54

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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.