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Finding the Fourth Proportional to 633.56, 874.26 and 397.24

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Solution

The fourth proportional to 633.56, 874.26 and 397.24 is: 548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 874.26 = 397.24 : x
  2. Step 2: Convert to fraction form
    633.56/874.26 = 397.24/x
  3. Step 3: Cross multiply
    633.56x = 874.26 × 397.24
  4. Step 4: Simplify right side
    633.56x = 347,288.86
  5. Step 5: Solve for x
    x = 347,288.86/633.56
  6. Step 6: Final answer
    x = 548.16

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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.