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Finding the Fourth Proportional to 339.31, 468.63 and 229.24

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Solution

The fourth proportional to 339.31, 468.63 and 229.24 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.31 : 468.63 = 229.24 : x
  2. Step 2: Convert to fraction form
    339.31/468.63 = 229.24/x
  3. Step 3: Cross multiply
    339.31x = 468.63 × 229.24
  4. Step 4: Simplify right side
    339.31x = 107,428.74
  5. Step 5: Solve for x
    x = 107,428.74/339.31
  6. Step 6: Final answer
    x = 316.61

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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.