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Finding the Fourth Proportional to 645.30, 967.41 and 481.14

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Solution

The fourth proportional to 645.30, 967.41 and 481.14 is: 721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.30 : 967.41 = 481.14 : x
  2. Step 2: Convert to fraction form
    645.30/967.41 = 481.14/x
  3. Step 3: Cross multiply
    645.30x = 967.41 × 481.14
  4. Step 4: Simplify right side
    645.30x = 465,459.65
  5. Step 5: Solve for x
    x = 465,459.65/645.30
  6. Step 6: Final answer
    x = 721.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.