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Finding the Fourth Proportional to 481.62, 664.47 and 295.07

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Solution

The fourth proportional to 481.62, 664.47 and 295.07 is: 407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.62 : 664.47 = 295.07 : x
  2. Step 2: Convert to fraction form
    481.62/664.47 = 295.07/x
  3. Step 3: Cross multiply
    481.62x = 664.47 × 295.07
  4. Step 4: Simplify right side
    481.62x = 196,061.84
  5. Step 5: Solve for x
    x = 196,061.84/481.62
  6. Step 6: Final answer
    x = 407.09

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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.