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Finding the Fourth Proportional to 721.64, 995.81 and 406.80

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Solution

The fourth proportional to 721.64, 995.81 and 406.80 is: 561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 995.81 = 406.80 : x
  2. Step 2: Convert to fraction form
    721.64/995.81 = 406.80/x
  3. Step 3: Cross multiply
    721.64x = 995.81 × 406.80
  4. Step 4: Simplify right side
    721.64x = 405,093.47
  5. Step 5: Solve for x
    x = 405,093.47/721.64
  6. Step 6: Final answer
    x = 561.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.