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Finding the Fourth Proportional to 522.18, 782.69 and 229.86

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Solution

The fourth proportional to 522.18, 782.69 and 229.86 is: 344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 782.69 = 229.86 : x
  2. Step 2: Convert to fraction form
    522.18/782.69 = 229.86/x
  3. Step 3: Cross multiply
    522.18x = 782.69 × 229.86
  4. Step 4: Simplify right side
    522.18x = 179,907.97
  5. Step 5: Solve for x
    x = 179,907.97/522.18
  6. Step 6: Final answer
    x = 344.53

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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.