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Finding the Fourth Proportional to 414.24, 571.73 and 246.23

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Solution

The fourth proportional to 414.24, 571.73 and 246.23 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 571.73 = 246.23 : x
  2. Step 2: Convert to fraction form
    414.24/571.73 = 246.23/x
  3. Step 3: Cross multiply
    414.24x = 571.73 × 246.23
  4. Step 4: Simplify right side
    414.24x = 140,779.12
  5. Step 5: Solve for x
    x = 140,779.12/414.24
  6. Step 6: Final answer
    x = 339.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.