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Finding the Fourth Proportional to 331.36, 456.62 and 282.15

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Solution

The fourth proportional to 331.36, 456.62 and 282.15 is: 388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.36 : 456.62 = 282.15 : x
  2. Step 2: Convert to fraction form
    331.36/456.62 = 282.15/x
  3. Step 3: Cross multiply
    331.36x = 456.62 × 282.15
  4. Step 4: Simplify right side
    331.36x = 128,833.92
  5. Step 5: Solve for x
    x = 128,833.92/331.36
  6. Step 6: Final answer
    x = 388.81

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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.