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Finding the Fourth Proportional to 452.45, 677.73 and 235.37

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Solution

The fourth proportional to 452.45, 677.73 and 235.37 is: 352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.45 : 677.73 = 235.37 : x
  2. Step 2: Convert to fraction form
    452.45/677.73 = 235.37/x
  3. Step 3: Cross multiply
    452.45x = 677.73 × 235.37
  4. Step 4: Simplify right side
    452.45x = 159,517.31
  5. Step 5: Solve for x
    x = 159,517.31/452.45
  6. Step 6: Final answer
    x = 352.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.