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Finding the Fourth Proportional to 633.73, 950.82 and 452.54

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Solution

The fourth proportional to 633.73, 950.82 and 452.54 is: 678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.73 : 950.82 = 452.54 : x
  2. Step 2: Convert to fraction form
    633.73/950.82 = 452.54/x
  3. Step 3: Cross multiply
    633.73x = 950.82 × 452.54
  4. Step 4: Simplify right side
    633.73x = 430,284.08
  5. Step 5: Solve for x
    x = 430,284.08/633.73
  6. Step 6: Final answer
    x = 678.97

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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.