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Finding the Fourth Proportional to 633.23, 873.92 and 371.29

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Solution

The fourth proportional to 633.23, 873.92 and 371.29 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.23 : 873.92 = 371.29 : x
  2. Step 2: Convert to fraction form
    633.23/873.92 = 371.29/x
  3. Step 3: Cross multiply
    633.23x = 873.92 × 371.29
  4. Step 4: Simplify right side
    633.23x = 324,477.76
  5. Step 5: Solve for x
    x = 324,477.76/633.23
  6. Step 6: Final answer
    x = 512.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.