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Finding the Fourth Proportional to 333.97, 460.48 and 295.09

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Solution

The fourth proportional to 333.97, 460.48 and 295.09 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.97 : 460.48 = 295.09 : x
  2. Step 2: Convert to fraction form
    333.97/460.48 = 295.09/x
  3. Step 3: Cross multiply
    333.97x = 460.48 × 295.09
  4. Step 4: Simplify right side
    333.97x = 135,883.04
  5. Step 5: Solve for x
    x = 135,883.04/333.97
  6. Step 6: Final answer
    x = 406.87

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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.