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Finding the Fourth Proportional to 633.67, 874.40 and 467.97

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Solution

The fourth proportional to 633.67, 874.40 and 467.97 is: 645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.67 : 874.40 = 467.97 : x
  2. Step 2: Convert to fraction form
    633.67/874.40 = 467.97/x
  3. Step 3: Cross multiply
    633.67x = 874.40 × 467.97
  4. Step 4: Simplify right side
    633.67x = 409,192.97
  5. Step 5: Solve for x
    x = 409,192.97/633.67
  6. Step 6: Final answer
    x = 645.75

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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.