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Finding the Fourth Proportional to 521.95, 782.43 and 197.23

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Solution

The fourth proportional to 521.95, 782.43 and 197.23 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.95 : 782.43 = 197.23 : x
  2. Step 2: Convert to fraction form
    521.95/782.43 = 197.23/x
  3. Step 3: Cross multiply
    521.95x = 782.43 × 197.23
  4. Step 4: Simplify right side
    521.95x = 154,318.67
  5. Step 5: Solve for x
    x = 154,318.67/521.95
  6. Step 6: Final answer
    x = 295.66

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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.