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Finding the Fourth Proportional to 481.75, 664.91 and 465.95

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Solution

The fourth proportional to 481.75, 664.91 and 465.95 is: 643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 664.91 = 465.95 : x
  2. Step 2: Convert to fraction form
    481.75/664.91 = 465.95/x
  3. Step 3: Cross multiply
    481.75x = 664.91 × 465.95
  4. Step 4: Simplify right side
    481.75x = 309,815.89
  5. Step 5: Solve for x
    x = 309,815.89/481.75
  6. Step 6: Final answer
    x = 643.11

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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.