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Finding the Fourth Proportional to 393.54, 543.10 and 218.88

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Solution

The fourth proportional to 393.54, 543.10 and 218.88 is: 302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 543.10 = 218.88 : x
  2. Step 2: Convert to fraction form
    393.54/543.10 = 218.88/x
  3. Step 3: Cross multiply
    393.54x = 543.10 × 218.88
  4. Step 4: Simplify right side
    393.54x = 118,873.73
  5. Step 5: Solve for x
    x = 118,873.73/393.54
  6. Step 6: Final answer
    x = 302.06

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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.