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Finding the Fourth Proportional to 414.27, 571.71 and 297.63

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Solution

The fourth proportional to 414.27, 571.71 and 297.63 is: 410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 571.71 = 297.63 : x
  2. Step 2: Convert to fraction form
    414.27/571.71 = 297.63/x
  3. Step 3: Cross multiply
    414.27x = 571.71 × 297.63
  4. Step 4: Simplify right side
    414.27x = 170,158.05
  5. Step 5: Solve for x
    x = 170,158.05/414.27
  6. Step 6: Final answer
    x = 410.74

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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.