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Finding the Fourth Proportional to 496.91, 744.89 and 236.78

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Solution

The fourth proportional to 496.91, 744.89 and 236.78 is: 354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.91 : 744.89 = 236.78 : x
  2. Step 2: Convert to fraction form
    496.91/744.89 = 236.78/x
  3. Step 3: Cross multiply
    496.91x = 744.89 × 236.78
  4. Step 4: Simplify right side
    496.91x = 176,370.15
  5. Step 5: Solve for x
    x = 176,370.15/496.91
  6. Step 6: Final answer
    x = 354.94

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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.