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Finding the Fourth Proportional to 418.73, 577.73 and 352.60

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Solution

The fourth proportional to 418.73, 577.73 and 352.60 is: 486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.73 : 577.73 = 352.60 : x
  2. Step 2: Convert to fraction form
    418.73/577.73 = 352.60/x
  3. Step 3: Cross multiply
    418.73x = 577.73 × 352.60
  4. Step 4: Simplify right side
    418.73x = 203,707.04
  5. Step 5: Solve for x
    x = 203,707.04/418.73
  6. Step 6: Final answer
    x = 486.49

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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.