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Finding the Fourth Proportional to 414.46, 571.91 and 246.35

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Solution

The fourth proportional to 414.46, 571.91 and 246.35 is: 339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 571.91 = 246.35 : x
  2. Step 2: Convert to fraction form
    414.46/571.91 = 246.35/x
  3. Step 3: Cross multiply
    414.46x = 571.91 × 246.35
  4. Step 4: Simplify right side
    414.46x = 140,892.07
  5. Step 5: Solve for x
    x = 140,892.07/414.46
  6. Step 6: Final answer
    x = 339.94

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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.