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Finding the Fourth Proportional to 414.08, 571.28 and 310.72

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Solution

The fourth proportional to 414.08, 571.28 and 310.72 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 571.28 = 310.72 : x
  2. Step 2: Convert to fraction form
    414.08/571.28 = 310.72/x
  3. Step 3: Cross multiply
    414.08x = 571.28 × 310.72
  4. Step 4: Simplify right side
    414.08x = 177,508.12
  5. Step 5: Solve for x
    x = 177,508.12/414.08
  6. Step 6: Final answer
    x = 428.68

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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.