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Finding the Fourth Proportional to 504.54, 756.74 and 196.44

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Solution

The fourth proportional to 504.54, 756.74 and 196.44 is: 294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.54 : 756.74 = 196.44 : x
  2. Step 2: Convert to fraction form
    504.54/756.74 = 196.44/x
  3. Step 3: Cross multiply
    504.54x = 756.74 × 196.44
  4. Step 4: Simplify right side
    504.54x = 148,654.01
  5. Step 5: Solve for x
    x = 148,654.01/504.54
  6. Step 6: Final answer
    x = 294.63

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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.