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Finding the Fourth Proportional to 496.11, 743.93 and 279.63

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Solution

The fourth proportional to 496.11, 743.93 and 279.63 is: 419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.11 : 743.93 = 279.63 : x
  2. Step 2: Convert to fraction form
    496.11/743.93 = 279.63/x
  3. Step 3: Cross multiply
    496.11x = 743.93 × 279.63
  4. Step 4: Simplify right side
    496.11x = 208,023.75
  5. Step 5: Solve for x
    x = 208,023.75/496.11
  6. Step 6: Final answer
    x = 419.31

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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.