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Finding the Fourth Proportional to 633.52, 874.26 and 364.38

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Solution

The fourth proportional to 633.52, 874.26 and 364.38 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.52 : 874.26 = 364.38 : x
  2. Step 2: Convert to fraction form
    633.52/874.26 = 364.38/x
  3. Step 3: Cross multiply
    633.52x = 874.26 × 364.38
  4. Step 4: Simplify right side
    633.52x = 318,562.86
  5. Step 5: Solve for x
    x = 318,562.86/633.52
  6. Step 6: Final answer
    x = 502.85

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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.