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Finding the Fourth Proportional to 509.32, 763.82 and 196.90

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Solution

The fourth proportional to 509.32, 763.82 and 196.90 is: 295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 763.82 = 196.90 : x
  2. Step 2: Convert to fraction form
    509.32/763.82 = 196.90/x
  3. Step 3: Cross multiply
    509.32x = 763.82 × 196.90
  4. Step 4: Simplify right side
    509.32x = 150,392.59
  5. Step 5: Solve for x
    x = 150,392.59/509.32
  6. Step 6: Final answer
    x = 295.28

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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.