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Finding the Fourth Proportional to 353.49, 487.57 and 229.29

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Solution

The fourth proportional to 353.49, 487.57 and 229.29 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.49 : 487.57 = 229.29 : x
  2. Step 2: Convert to fraction form
    353.49/487.57 = 229.29/x
  3. Step 3: Cross multiply
    353.49x = 487.57 × 229.29
  4. Step 4: Simplify right side
    353.49x = 111,794.93
  5. Step 5: Solve for x
    x = 111,794.93/353.49
  6. Step 6: Final answer
    x = 316.26

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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.