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Finding the Fourth Proportional to 262.69, 393.53 and 204.64

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Solution

The fourth proportional to 262.69, 393.53 and 204.64 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.69 : 393.53 = 204.64 : x
  2. Step 2: Convert to fraction form
    262.69/393.53 = 204.64/x
  3. Step 3: Cross multiply
    262.69x = 393.53 × 204.64
  4. Step 4: Simplify right side
    262.69x = 80,529.97
  5. Step 5: Solve for x
    x = 80,529.97/262.69
  6. Step 6: Final answer
    x = 306.56

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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.