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Finding the Fourth Proportional to 628.80, 867.36 and 441.96

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Solution

The fourth proportional to 628.80, 867.36 and 441.96 is: 609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.80 : 867.36 = 441.96 : x
  2. Step 2: Convert to fraction form
    628.80/867.36 = 441.96/x
  3. Step 3: Cross multiply
    628.80x = 867.36 × 441.96
  4. Step 4: Simplify right side
    628.80x = 383,338.43
  5. Step 5: Solve for x
    x = 383,338.43/628.80
  6. Step 6: Final answer
    x = 609.63

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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.