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Finding the Fourth Proportional to 414.49, 571.80 and 248.67

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Solution

The fourth proportional to 414.49, 571.80 and 248.67 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.49 : 571.80 = 248.67 : x
  2. Step 2: Convert to fraction form
    414.49/571.80 = 248.67/x
  3. Step 3: Cross multiply
    414.49x = 571.80 × 248.67
  4. Step 4: Simplify right side
    414.49x = 142,189.51
  5. Step 5: Solve for x
    x = 142,189.51/414.49
  6. Step 6: Final answer
    x = 343.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.