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Finding the Fourth Proportional to 414.24, 571.96 and 339.44

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Solution

The fourth proportional to 414.24, 571.96 and 339.44 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 571.96 = 339.44 : x
  2. Step 2: Convert to fraction form
    414.24/571.96 = 339.44/x
  3. Step 3: Cross multiply
    414.24x = 571.96 × 339.44
  4. Step 4: Simplify right side
    414.24x = 194,146.88
  5. Step 5: Solve for x
    x = 194,146.88/414.24
  6. Step 6: Final answer
    x = 468.68

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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.