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Finding the Fourth Proportional to 633.41, 874.09 and 400.31

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Solution

The fourth proportional to 633.41, 874.09 and 400.31 is: 552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.41 : 874.09 = 400.31 : x
  2. Step 2: Convert to fraction form
    633.41/874.09 = 400.31/x
  3. Step 3: Cross multiply
    633.41x = 874.09 × 400.31
  4. Step 4: Simplify right side
    633.41x = 349,906.97
  5. Step 5: Solve for x
    x = 349,906.97/633.41
  6. Step 6: Final answer
    x = 552.42

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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.