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Finding the Fourth Proportional to 349.20, 522.56 and 225.88

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Solution

The fourth proportional to 349.20, 522.56 and 225.88 is: 338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 522.56 = 225.88 : x
  2. Step 2: Convert to fraction form
    349.20/522.56 = 225.88/x
  3. Step 3: Cross multiply
    349.20x = 522.56 × 225.88
  4. Step 4: Simplify right side
    349.20x = 118,035.85
  5. Step 5: Solve for x
    x = 118,035.85/349.20
  6. Step 6: Final answer
    x = 338.02

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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.