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Finding the Fourth Proportional to 509.35, 763.89 and 196.93

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Solution

The fourth proportional to 509.35, 763.89 and 196.93 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.35 : 763.89 = 196.93 : x
  2. Step 2: Convert to fraction form
    509.35/763.89 = 196.93/x
  3. Step 3: Cross multiply
    509.35x = 763.89 × 196.93
  4. Step 4: Simplify right side
    509.35x = 150,430.95
  5. Step 5: Solve for x
    x = 150,430.95/509.35
  6. Step 6: Final answer
    x = 295.34

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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.