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Finding the Fourth Proportional to 395.56, 546.07 and 255.76

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Solution

The fourth proportional to 395.56, 546.07 and 255.76 is: 353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.56 : 546.07 = 255.76 : x
  2. Step 2: Convert to fraction form
    395.56/546.07 = 255.76/x
  3. Step 3: Cross multiply
    395.56x = 546.07 × 255.76
  4. Step 4: Simplify right side
    395.56x = 139,660.62
  5. Step 5: Solve for x
    x = 139,660.62/395.56
  6. Step 6: Final answer
    x = 353.07

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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.