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Finding the Fourth Proportional to 350.22, 522.07 and 344.07

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Solution

The fourth proportional to 350.22, 522.07 and 344.07 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.22 : 522.07 = 344.07 : x
  2. Step 2: Convert to fraction form
    350.22/522.07 = 344.07/x
  3. Step 3: Cross multiply
    350.22x = 522.07 × 344.07
  4. Step 4: Simplify right side
    350.22x = 179,630.20
  5. Step 5: Solve for x
    x = 179,630.20/350.22
  6. Step 6: Final answer
    x = 512.90

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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.