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Finding the Fourth Proportional to 347.28, 479.20 and 229.50

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Solution

The fourth proportional to 347.28, 479.20 and 229.50 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.28 : 479.20 = 229.50 : x
  2. Step 2: Convert to fraction form
    347.28/479.20 = 229.50/x
  3. Step 3: Cross multiply
    347.28x = 479.20 × 229.50
  4. Step 4: Simplify right side
    347.28x = 109,974.03
  5. Step 5: Solve for x
    x = 109,974.03/347.28
  6. Step 6: Final answer
    x = 316.68

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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.