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Finding the Fourth Proportional to 414.63, 571.86 and 274.77

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Solution

The fourth proportional to 414.63, 571.86 and 274.77 is: 378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 571.86 = 274.77 : x
  2. Step 2: Convert to fraction form
    414.63/571.86 = 274.77/x
  3. Step 3: Cross multiply
    414.63x = 571.86 × 274.77
  4. Step 4: Simplify right side
    414.63x = 157,129.97
  5. Step 5: Solve for x
    x = 157,129.97/414.63
  6. Step 6: Final answer
    x = 378.96

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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.