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Finding the Fourth Proportional to 333.76, 460.92 and 268.96

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Solution

The fourth proportional to 333.76, 460.92 and 268.96 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 460.92 = 268.96 : x
  2. Step 2: Convert to fraction form
    333.76/460.92 = 268.96/x
  3. Step 3: Cross multiply
    333.76x = 460.92 × 268.96
  4. Step 4: Simplify right side
    333.76x = 123,969.04
  5. Step 5: Solve for x
    x = 123,969.04/333.76
  6. Step 6: Final answer
    x = 371.43

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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.