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Finding the Fourth Proportional to 414.54, 620.28 and 257.81

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Solution

The fourth proportional to 414.54, 620.28 and 257.81 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 620.28 = 257.81 : x
  2. Step 2: Convert to fraction form
    414.54/620.28 = 257.81/x
  3. Step 3: Cross multiply
    414.54x = 620.28 × 257.81
  4. Step 4: Simplify right side
    414.54x = 159,913.76
  5. Step 5: Solve for x
    x = 159,913.76/414.54
  6. Step 6: Final answer
    x = 385.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.