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Finding the Fourth Proportional to 414.22, 571.72 and 248.46

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Solution

The fourth proportional to 414.22, 571.72 and 248.46 is: 342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.22 : 571.72 = 248.46 : x
  2. Step 2: Convert to fraction form
    414.22/571.72 = 248.46/x
  3. Step 3: Cross multiply
    414.22x = 571.72 × 248.46
  4. Step 4: Simplify right side
    414.22x = 142,049.55
  5. Step 5: Solve for x
    x = 142,049.55/414.22
  6. Step 6: Final answer
    x = 342.93

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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.