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Finding the Fourth Proportional to 358.46, 494.68 and 218.56

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Solution

The fourth proportional to 358.46, 494.68 and 218.56 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.46 : 494.68 = 218.56 : x
  2. Step 2: Convert to fraction form
    358.46/494.68 = 218.56/x
  3. Step 3: Cross multiply
    358.46x = 494.68 × 218.56
  4. Step 4: Simplify right side
    358.46x = 108,117.26
  5. Step 5: Solve for x
    x = 108,117.26/358.46
  6. Step 6: Final answer
    x = 301.62

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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.