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Finding the Fourth Proportional to 414.64, 571.94 and 257.36

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Solution

The fourth proportional to 414.64, 571.94 and 257.36 is: 354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 571.94 = 257.36 : x
  2. Step 2: Convert to fraction form
    414.64/571.94 = 257.36/x
  3. Step 3: Cross multiply
    414.64x = 571.94 × 257.36
  4. Step 4: Simplify right side
    414.64x = 147,194.48
  5. Step 5: Solve for x
    x = 147,194.48/414.64
  6. Step 6: Final answer
    x = 354.99

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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.