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Finding the Fourth Proportional to 522.02, 782.49 and 197.12

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Solution

The fourth proportional to 522.02, 782.49 and 197.12 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 782.49 = 197.12 : x
  2. Step 2: Convert to fraction form
    522.02/782.49 = 197.12/x
  3. Step 3: Cross multiply
    522.02x = 782.49 × 197.12
  4. Step 4: Simplify right side
    522.02x = 154,244.43
  5. Step 5: Solve for x
    x = 154,244.43/522.02
  6. Step 6: Final answer
    x = 295.48

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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.