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Finding the Fourth Proportional to 414.10, 571.34 and 248.23

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Solution

The fourth proportional to 414.10, 571.34 and 248.23 is: 342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 571.34 = 248.23 : x
  2. Step 2: Convert to fraction form
    414.10/571.34 = 248.23/x
  3. Step 3: Cross multiply
    414.10x = 571.34 × 248.23
  4. Step 4: Simplify right side
    414.10x = 141,819.63
  5. Step 5: Solve for x
    x = 141,819.63/414.10
  6. Step 6: Final answer
    x = 342.48

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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.