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Finding the Fourth Proportional to 402.75, 602.28 and 344.43

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Solution

The fourth proportional to 402.75, 602.28 and 344.43 is: 515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 602.28 = 344.43 : x
  2. Step 2: Convert to fraction form
    402.75/602.28 = 344.43/x
  3. Step 3: Cross multiply
    402.75x = 602.28 × 344.43
  4. Step 4: Simplify right side
    402.75x = 207,443.30
  5. Step 5: Solve for x
    x = 207,443.30/402.75
  6. Step 6: Final answer
    x = 515.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.