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Finding the Fourth Proportional to 451.98, 677.39 and 232.43

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Solution

The fourth proportional to 451.98, 677.39 and 232.43 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 677.39 = 232.43 : x
  2. Step 2: Convert to fraction form
    451.98/677.39 = 232.43/x
  3. Step 3: Cross multiply
    451.98x = 677.39 × 232.43
  4. Step 4: Simplify right side
    451.98x = 157,441.21
  5. Step 5: Solve for x
    x = 157,441.21/451.98
  6. Step 6: Final answer
    x = 348.34

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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.