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Finding the Fourth Proportional to 722.14, 995.97 and 460.06

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Solution

The fourth proportional to 722.14, 995.97 and 460.06 is: 634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.14 : 995.97 = 460.06 : x
  2. Step 2: Convert to fraction form
    722.14/995.97 = 460.06/x
  3. Step 3: Cross multiply
    722.14x = 995.97 × 460.06
  4. Step 4: Simplify right side
    722.14x = 458,205.96
  5. Step 5: Solve for x
    x = 458,205.96/722.14
  6. Step 6: Final answer
    x = 634.51

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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.