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Finding the Fourth Proportional to 633.62, 874.37 and 353.86

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Solution

The fourth proportional to 633.62, 874.37 and 353.86 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 874.37 = 353.86 : x
  2. Step 2: Convert to fraction form
    633.62/874.37 = 353.86/x
  3. Step 3: Cross multiply
    633.62x = 874.37 × 353.86
  4. Step 4: Simplify right side
    633.62x = 309,403.27
  5. Step 5: Solve for x
    x = 309,403.27/633.62
  6. Step 6: Final answer
    x = 488.31

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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.