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Finding the Fourth Proportional to 414.73, 571.94 and 283.78

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Solution

The fourth proportional to 414.73, 571.94 and 283.78 is: 391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.73 : 571.94 = 283.78 : x
  2. Step 2: Convert to fraction form
    414.73/571.94 = 283.78/x
  3. Step 3: Cross multiply
    414.73x = 571.94 × 283.78
  4. Step 4: Simplify right side
    414.73x = 162,302.27
  5. Step 5: Solve for x
    x = 162,302.27/414.73
  6. Step 6: Final answer
    x = 391.35

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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.