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Finding the Fourth Proportional to 633.22, 872.58 and 523.48

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Solution

The fourth proportional to 633.22, 872.58 and 523.48 is: 721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.22 : 872.58 = 523.48 : x
  2. Step 2: Convert to fraction form
    633.22/872.58 = 523.48/x
  3. Step 3: Cross multiply
    633.22x = 872.58 × 523.48
  4. Step 4: Simplify right side
    633.22x = 456,778.18
  5. Step 5: Solve for x
    x = 456,778.18/633.22
  6. Step 6: Final answer
    x = 721.36

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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.