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Finding the Fourth Proportional to 489.16, 675.30 and 481.96

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Solution

The fourth proportional to 489.16, 675.30 and 481.96 is: 665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 675.30 = 481.96 : x
  2. Step 2: Convert to fraction form
    489.16/675.30 = 481.96/x
  3. Step 3: Cross multiply
    489.16x = 675.30 × 481.96
  4. Step 4: Simplify right side
    489.16x = 325,467.59
  5. Step 5: Solve for x
    x = 325,467.59/489.16
  6. Step 6: Final answer
    x = 665.36

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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.