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Finding the Fourth Proportional to 358.28, 494.27 and 218.37

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Solution

The fourth proportional to 358.28, 494.27 and 218.37 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 494.27 = 218.37 : x
  2. Step 2: Convert to fraction form
    358.28/494.27 = 218.37/x
  3. Step 3: Cross multiply
    358.28x = 494.27 × 218.37
  4. Step 4: Simplify right side
    358.28x = 107,934.29
  5. Step 5: Solve for x
    x = 107,934.29/358.28
  6. Step 6: Final answer
    x = 301.26

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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.