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Finding the Fourth Proportional to 331.08, 457.06 and 256.22

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Solution

The fourth proportional to 331.08, 457.06 and 256.22 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 457.06 = 256.22 : x
  2. Step 2: Convert to fraction form
    331.08/457.06 = 256.22/x
  3. Step 3: Cross multiply
    331.08x = 457.06 × 256.22
  4. Step 4: Simplify right side
    331.08x = 117,107.91
  5. Step 5: Solve for x
    x = 117,107.91/331.08
  6. Step 6: Final answer
    x = 353.71

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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.