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Finding the Fourth Proportional to 325.96, 449.58 and 256.12

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Solution

The fourth proportional to 325.96, 449.58 and 256.12 is: 353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 449.58 = 256.12 : x
  2. Step 2: Convert to fraction form
    325.96/449.58 = 256.12/x
  3. Step 3: Cross multiply
    325.96x = 449.58 × 256.12
  4. Step 4: Simplify right side
    325.96x = 115,146.43
  5. Step 5: Solve for x
    x = 115,146.43/325.96
  6. Step 6: Final answer
    x = 353.25

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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.