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Finding the Fourth Proportional to 393.47, 542.94 and 218.77

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Solution

The fourth proportional to 393.47, 542.94 and 218.77 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.47 : 542.94 = 218.77 : x
  2. Step 2: Convert to fraction form
    393.47/542.94 = 218.77/x
  3. Step 3: Cross multiply
    393.47x = 542.94 × 218.77
  4. Step 4: Simplify right side
    393.47x = 118,778.98
  5. Step 5: Solve for x
    x = 118,778.98/393.47
  6. Step 6: Final answer
    x = 301.88

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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.