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Finding the Fourth Proportional to 347.73, 480.02 and 229.78

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Solution

The fourth proportional to 347.73, 480.02 and 229.78 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.73 : 480.02 = 229.78 : x
  2. Step 2: Convert to fraction form
    347.73/480.02 = 229.78/x
  3. Step 3: Cross multiply
    347.73x = 480.02 × 229.78
  4. Step 4: Simplify right side
    347.73x = 110,298.37
  5. Step 5: Solve for x
    x = 110,298.37/347.73
  6. Step 6: Final answer
    x = 317.20

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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.