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Finding the Fourth Proportional to 633.26, 873.87 and 467.41

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Solution

The fourth proportional to 633.26, 873.87 and 467.41 is: 645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.26 : 873.87 = 467.41 : x
  2. Step 2: Convert to fraction form
    633.26/873.87 = 467.41/x
  3. Step 3: Cross multiply
    633.26x = 873.87 × 467.41
  4. Step 4: Simplify right side
    633.26x = 408,453.24
  5. Step 5: Solve for x
    x = 408,453.24/633.26
  6. Step 6: Final answer
    x = 645.00

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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.