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Finding the Fourth Proportional to 633.72, 874.08 and 412.44

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Solution

The fourth proportional to 633.72, 874.08 and 412.44 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 874.08 = 412.44 : x
  2. Step 2: Convert to fraction form
    633.72/874.08 = 412.44/x
  3. Step 3: Cross multiply
    633.72x = 874.08 × 412.44
  4. Step 4: Simplify right side
    633.72x = 360,505.56
  5. Step 5: Solve for x
    x = 360,505.56/633.72
  6. Step 6: Final answer
    x = 568.87

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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.