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Finding the Fourth Proportional to 393.92, 543.78 and 262.70

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Solution

The fourth proportional to 393.92, 543.78 and 262.70 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.92 : 543.78 = 262.70 : x
  2. Step 2: Convert to fraction form
    393.92/543.78 = 262.70/x
  3. Step 3: Cross multiply
    393.92x = 543.78 × 262.70
  4. Step 4: Simplify right side
    393.92x = 142,851.01
  5. Step 5: Solve for x
    x = 142,851.01/393.92
  6. Step 6: Final answer
    x = 362.64

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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.