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Finding the Fourth Proportional to 522.23, 782.99 and 229.73

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Solution

The fourth proportional to 522.23, 782.99 and 229.73 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.23 : 782.99 = 229.73 : x
  2. Step 2: Convert to fraction form
    522.23/782.99 = 229.73/x
  3. Step 3: Cross multiply
    522.23x = 782.99 × 229.73
  4. Step 4: Simplify right side
    522.23x = 179,871.23
  5. Step 5: Solve for x
    x = 179,871.23/522.23
  6. Step 6: Final answer
    x = 344.43

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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.