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Finding the Fourth Proportional to 722.27, 995.66 and 442.31

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Solution

The fourth proportional to 722.27, 995.66 and 442.31 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.27 : 995.66 = 442.31 : x
  2. Step 2: Convert to fraction form
    722.27/995.66 = 442.31/x
  3. Step 3: Cross multiply
    722.27x = 995.66 × 442.31
  4. Step 4: Simplify right side
    722.27x = 440,390.44
  5. Step 5: Solve for x
    x = 440,390.44/722.27
  6. Step 6: Final answer
    x = 609.73

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