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Finding the Fourth Proportional to 453.38, 680.15 and 193.38

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Solution

The fourth proportional to 453.38, 680.15 and 193.38 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.38 : 680.15 = 193.38 : x
  2. Step 2: Convert to fraction form
    453.38/680.15 = 193.38/x
  3. Step 3: Cross multiply
    453.38x = 680.15 × 193.38
  4. Step 4: Simplify right side
    453.38x = 131,524.01
  5. Step 5: Solve for x
    x = 131,524.01/453.38
  6. Step 6: Final answer
    x = 290.10

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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.