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Finding the Fourth Proportional to 504.83, 757.40 and 196.91

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Solution

The fourth proportional to 504.83, 757.40 and 196.91 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.83 : 757.40 = 196.91 : x
  2. Step 2: Convert to fraction form
    504.83/757.40 = 196.91/x
  3. Step 3: Cross multiply
    504.83x = 757.40 × 196.91
  4. Step 4: Simplify right side
    504.83x = 149,136.68
  5. Step 5: Solve for x
    x = 149,136.68/504.83
  6. Step 6: Final answer
    x = 295.42

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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.