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Finding the Fourth Proportional to 414.23, 571.53 and 348.09

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Solution

The fourth proportional to 414.23, 571.53 and 348.09 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.23 : 571.53 = 348.09 : x
  2. Step 2: Convert to fraction form
    414.23/571.53 = 348.09/x
  3. Step 3: Cross multiply
    414.23x = 571.53 × 348.09
  4. Step 4: Simplify right side
    414.23x = 198,943.04
  5. Step 5: Solve for x
    x = 198,943.04/414.23
  6. Step 6: Final answer
    x = 480.28

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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.