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Finding the Fourth Proportional to 664.13, 995.99 and 460.01

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Solution

The fourth proportional to 664.13, 995.99 and 460.01 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 995.99 = 460.01 : x
  2. Step 2: Convert to fraction form
    664.13/995.99 = 460.01/x
  3. Step 3: Cross multiply
    664.13x = 995.99 × 460.01
  4. Step 4: Simplify right side
    664.13x = 458,165.55
  5. Step 5: Solve for x
    x = 458,165.55/664.13
  6. Step 6: Final answer
    x = 689.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.