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Finding the Fourth Proportional to 354.27, 488.47 and 229.88

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Solution

The fourth proportional to 354.27, 488.47 and 229.88 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.27 : 488.47 = 229.88 : x
  2. Step 2: Convert to fraction form
    354.27/488.47 = 229.88/x
  3. Step 3: Cross multiply
    354.27x = 488.47 × 229.88
  4. Step 4: Simplify right side
    354.27x = 112,289.48
  5. Step 5: Solve for x
    x = 112,289.48/354.27
  6. Step 6: Final answer
    x = 316.96

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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.