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Finding the Fourth Proportional to 393.68, 543.20 and 262.61

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Solution

The fourth proportional to 393.68, 543.20 and 262.61 is: 362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 543.20 = 262.61 : x
  2. Step 2: Convert to fraction form
    393.68/543.20 = 262.61/x
  3. Step 3: Cross multiply
    393.68x = 543.20 × 262.61
  4. Step 4: Simplify right side
    393.68x = 142,645.72
  5. Step 5: Solve for x
    x = 142,645.72/393.68
  6. Step 6: Final answer
    x = 362.34

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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.