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Finding the Fourth Proportional to 521.90, 782.96 and 197.27

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Solution

The fourth proportional to 521.90, 782.96 and 197.27 is: 295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 782.96 = 197.27 : x
  2. Step 2: Convert to fraction form
    521.90/782.96 = 197.27/x
  3. Step 3: Cross multiply
    521.90x = 782.96 × 197.27
  4. Step 4: Simplify right side
    521.90x = 154,454.52
  5. Step 5: Solve for x
    x = 154,454.52/521.90
  6. Step 6: Final answer
    x = 295.95

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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.