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Finding the Fourth Proportional to 262.97, 395.37 and 220.58

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Solution

The fourth proportional to 262.97, 395.37 and 220.58 is: 331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 395.37 = 220.58 : x
  2. Step 2: Convert to fraction form
    262.97/395.37 = 220.58/x
  3. Step 3: Cross multiply
    262.97x = 395.37 × 220.58
  4. Step 4: Simplify right side
    262.97x = 87,210.71
  5. Step 5: Solve for x
    x = 87,210.71/262.97
  6. Step 6: Final answer
    x = 331.64

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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.