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Finding the Fourth Proportional to 414.48, 571.82 and 283.26

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Solution

The fourth proportional to 414.48, 571.82 and 283.26 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 571.82 = 283.26 : x
  2. Step 2: Convert to fraction form
    414.48/571.82 = 283.26/x
  3. Step 3: Cross multiply
    414.48x = 571.82 × 283.26
  4. Step 4: Simplify right side
    414.48x = 161,972.32
  5. Step 5: Solve for x
    x = 161,972.32/414.48
  6. Step 6: Final answer
    x = 390.78

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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.