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Finding the Fourth Proportional to 418.22, 577.26 and 243.60

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Solution

The fourth proportional to 418.22, 577.26 and 243.60 is: 336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.22 : 577.26 = 243.60 : x
  2. Step 2: Convert to fraction form
    418.22/577.26 = 243.60/x
  3. Step 3: Cross multiply
    418.22x = 577.26 × 243.60
  4. Step 4: Simplify right side
    418.22x = 140,620.54
  5. Step 5: Solve for x
    x = 140,620.54/418.22
  6. Step 6: Final answer
    x = 336.24

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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.