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Finding the Fourth Proportional to 414.95, 622.53 and 171.77

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Solution

The fourth proportional to 414.95, 622.53 and 171.77 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.95 : 622.53 = 171.77 : x
  2. Step 2: Convert to fraction form
    414.95/622.53 = 171.77/x
  3. Step 3: Cross multiply
    414.95x = 622.53 × 171.77
  4. Step 4: Simplify right side
    414.95x = 106,928.87
  5. Step 5: Solve for x
    x = 106,928.87/414.95
  6. Step 6: Final answer
    x = 257.69

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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.