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Finding the Fourth Proportional to 393.26, 542.75 and 218.62

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Solution

The fourth proportional to 393.26, 542.75 and 218.62 is: 301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 542.75 = 218.62 : x
  2. Step 2: Convert to fraction form
    393.26/542.75 = 218.62/x
  3. Step 3: Cross multiply
    393.26x = 542.75 × 218.62
  4. Step 4: Simplify right side
    393.26x = 118,656.01
  5. Step 5: Solve for x
    x = 118,656.01/393.26
  6. Step 6: Final answer
    x = 301.72

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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.