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Finding the Fourth Proportional to 393.98, 590.97 and 177.62

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Solution

The fourth proportional to 393.98, 590.97 and 177.62 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.98 : 590.97 = 177.62 : x
  2. Step 2: Convert to fraction form
    393.98/590.97 = 177.62/x
  3. Step 3: Cross multiply
    393.98x = 590.97 × 177.62
  4. Step 4: Simplify right side
    393.98x = 104,968.09
  5. Step 5: Solve for x
    x = 104,968.09/393.98
  6. Step 6: Final answer
    x = 266.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.