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Finding the Fourth Proportional to 414.42, 571.79 and 248.51

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Solution

The fourth proportional to 414.42, 571.79 and 248.51 is: 342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.42 : 571.79 = 248.51 : x
  2. Step 2: Convert to fraction form
    414.42/571.79 = 248.51/x
  3. Step 3: Cross multiply
    414.42x = 571.79 × 248.51
  4. Step 4: Simplify right side
    414.42x = 142,097.58
  5. Step 5: Solve for x
    x = 142,097.58/414.42
  6. Step 6: Final answer
    x = 342.89

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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.