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Finding the Fourth Proportional to 496.62, 743.93 and 236.87

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Solution

The fourth proportional to 496.62, 743.93 and 236.87 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 743.93 = 236.87 : x
  2. Step 2: Convert to fraction form
    496.62/743.93 = 236.87/x
  3. Step 3: Cross multiply
    496.62x = 743.93 × 236.87
  4. Step 4: Simplify right side
    496.62x = 176,214.70
  5. Step 5: Solve for x
    x = 176,214.70/496.62
  6. Step 6: Final answer
    x = 354.83

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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.