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Finding the Fourth Proportional to 504.69, 757.05 and 196.47

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Solution

The fourth proportional to 504.69, 757.05 and 196.47 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 757.05 = 196.47 : x
  2. Step 2: Convert to fraction form
    504.69/757.05 = 196.47/x
  3. Step 3: Cross multiply
    504.69x = 757.05 × 196.47
  4. Step 4: Simplify right side
    504.69x = 148,737.61
  5. Step 5: Solve for x
    x = 148,737.61/504.69
  6. Step 6: Final answer
    x = 294.71

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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.