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Finding the Fourth Proportional to 414.20, 571.14 and 283.28

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Solution

The fourth proportional to 414.20, 571.14 and 283.28 is: 390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 571.14 = 283.28 : x
  2. Step 2: Convert to fraction form
    414.20/571.14 = 283.28/x
  3. Step 3: Cross multiply
    414.20x = 571.14 × 283.28
  4. Step 4: Simplify right side
    414.20x = 161,792.54
  5. Step 5: Solve for x
    x = 161,792.54/414.20
  6. Step 6: Final answer
    x = 390.61

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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.