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Finding the Fourth Proportional to 344.25, 513.10 and 333

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Solution

The fourth proportional to 344.25, 513.10 and 333 is: 496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 513.10 = 333 : x
  2. Step 2: Convert to fraction form
    344.25/513.10 = 333/x
  3. Step 3: Cross multiply
    344.25x = 513.10 × 333
  4. Step 4: Simplify right side
    344.25x = 170,862.30
  5. Step 5: Solve for x
    x = 170,862.30/344.25
  6. Step 6: Final answer
    x = 496.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.