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Finding the Fourth Proportional to 353.82, 488.15 and 229.64

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Solution

The fourth proportional to 353.82, 488.15 and 229.64 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.82 : 488.15 = 229.64 : x
  2. Step 2: Convert to fraction form
    353.82/488.15 = 229.64/x
  3. Step 3: Cross multiply
    353.82x = 488.15 × 229.64
  4. Step 4: Simplify right side
    353.82x = 112,096.33
  5. Step 5: Solve for x
    x = 112,096.33/353.82
  6. Step 6: Final answer
    x = 316.82

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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.