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Finding the Fourth Proportional to 347.24, 478.24 and 323.28

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Solution

The fourth proportional to 347.24, 478.24 and 323.28 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.24 : 478.24 = 323.28 : x
  2. Step 2: Convert to fraction form
    347.24/478.24 = 323.28/x
  3. Step 3: Cross multiply
    347.24x = 478.24 × 323.28
  4. Step 4: Simplify right side
    347.24x = 154,604.62
  5. Step 5: Solve for x
    x = 154,604.62/347.24
  6. Step 6: Final answer
    x = 445.24

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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.