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Finding the Fourth Proportional to 350.96, 523.06 and 350.42

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Solution

The fourth proportional to 350.96, 523.06 and 350.42 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.96 : 523.06 = 350.42 : x
  2. Step 2: Convert to fraction form
    350.96/523.06 = 350.42/x
  3. Step 3: Cross multiply
    350.96x = 523.06 × 350.42
  4. Step 4: Simplify right side
    350.96x = 183,290.69
  5. Step 5: Solve for x
    x = 183,290.69/350.96
  6. Step 6: Final answer
    x = 522.26

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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.