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Finding the Fourth Proportional to 358.37, 494.63 and 218.49

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Solution

The fourth proportional to 358.37, 494.63 and 218.49 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.37 : 494.63 = 218.49 : x
  2. Step 2: Convert to fraction form
    358.37/494.63 = 218.49/x
  3. Step 3: Cross multiply
    358.37x = 494.63 × 218.49
  4. Step 4: Simplify right side
    358.37x = 108,070.62
  5. Step 5: Solve for x
    x = 108,070.62/358.37
  6. Step 6: Final answer
    x = 301.57

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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.