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Finding the Fourth Proportional to 358.30, 494.52 and 218.42

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Solution

The fourth proportional to 358.30, 494.52 and 218.42 is: 301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.30 : 494.52 = 218.42 : x
  2. Step 2: Convert to fraction form
    358.30/494.52 = 218.42/x
  3. Step 3: Cross multiply
    358.30x = 494.52 × 218.42
  4. Step 4: Simplify right side
    358.30x = 108,013.06
  5. Step 5: Solve for x
    x = 108,013.06/358.30
  6. Step 6: Final answer
    x = 301.46

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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.