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Finding the Fourth Proportional to 481.48, 664.47 and 295

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Solution

The fourth proportional to 481.48, 664.47 and 295 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 664.47 = 295 : x
  2. Step 2: Convert to fraction form
    481.48/664.47 = 295/x
  3. Step 3: Cross multiply
    481.48x = 664.47 × 295
  4. Step 4: Simplify right side
    481.48x = 196,018.65
  5. Step 5: Solve for x
    x = 196,018.65/481.48
  6. Step 6: Final answer
    x = 407.12

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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.