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Finding the Fourth Proportional to 664.08, 995.96 and 322

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Solution

The fourth proportional to 664.08, 995.96 and 322 is: 482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.08 : 995.96 = 322 : x
  2. Step 2: Convert to fraction form
    664.08/995.96 = 322/x
  3. Step 3: Cross multiply
    664.08x = 995.96 × 322
  4. Step 4: Simplify right side
    664.08x = 320,699.12
  5. Step 5: Solve for x
    x = 320,699.12/664.08
  6. Step 6: Final answer
    x = 482.92

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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.