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Finding the Fourth Proportional to 522.11, 782.82 and 213.89

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Solution

The fourth proportional to 522.11, 782.82 and 213.89 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.11 : 782.82 = 213.89 : x
  2. Step 2: Convert to fraction form
    522.11/782.82 = 213.89/x
  3. Step 3: Cross multiply
    522.11x = 782.82 × 213.89
  4. Step 4: Simplify right side
    522.11x = 167,433.46
  5. Step 5: Solve for x
    x = 167,433.46/522.11
  6. Step 6: Final answer
    x = 320.68

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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.