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Finding the Fourth Proportional to 327.69, 451.94 and 265.50

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Solution

The fourth proportional to 327.69, 451.94 and 265.50 is: 366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 451.94 = 265.50 : x
  2. Step 2: Convert to fraction form
    327.69/451.94 = 265.50/x
  3. Step 3: Cross multiply
    327.69x = 451.94 × 265.50
  4. Step 4: Simplify right side
    327.69x = 119,988.74
  5. Step 5: Solve for x
    x = 119,988.74/327.69
  6. Step 6: Final answer
    x = 366.17

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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.