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Finding the Fourth Proportional to 339.97, 468.43 and 229.25

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Solution

The fourth proportional to 339.97, 468.43 and 229.25 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 468.43 = 229.25 : x
  2. Step 2: Convert to fraction form
    339.97/468.43 = 229.25/x
  3. Step 3: Cross multiply
    339.97x = 468.43 × 229.25
  4. Step 4: Simplify right side
    339.97x = 107,384.09
  5. Step 5: Solve for x
    x = 107,384.09/339.97
  6. Step 6: Final answer
    x = 315.87

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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.