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Finding the Fourth Proportional to 443.45, 611.96 and 256.97

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Solution

The fourth proportional to 443.45, 611.96 and 256.97 is: 354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.45 : 611.96 = 256.97 : x
  2. Step 2: Convert to fraction form
    443.45/611.96 = 256.97/x
  3. Step 3: Cross multiply
    443.45x = 611.96 × 256.97
  4. Step 4: Simplify right side
    443.45x = 157,251.02
  5. Step 5: Solve for x
    x = 157,251.02/443.45
  6. Step 6: Final answer
    x = 354.61

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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.