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Finding the Fourth Proportional to 347.44, 480.38 and 332.14

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Solution

The fourth proportional to 347.44, 480.38 and 332.14 is: 459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.44 : 480.38 = 332.14 : x
  2. Step 2: Convert to fraction form
    347.44/480.38 = 332.14/x
  3. Step 3: Cross multiply
    347.44x = 480.38 × 332.14
  4. Step 4: Simplify right side
    347.44x = 159,553.41
  5. Step 5: Solve for x
    x = 159,553.41/347.44
  6. Step 6: Final answer
    x = 459.23

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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.