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Finding the Fourth Proportional to 344.45, 482.23 and 344.45

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Solution

The fourth proportional to 344.45, 482.23 and 344.45 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 482.23 = 344.45 : x
  2. Step 2: Convert to fraction form
    344.45/482.23 = 344.45/x
  3. Step 3: Cross multiply
    344.45x = 482.23 × 344.45
  4. Step 4: Simplify right side
    344.45x = 166,104.12
  5. Step 5: Solve for x
    x = 166,104.12/344.45
  6. Step 6: Final answer
    x = 482.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.