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Finding the Fourth Proportional to 496.29, 743.19 and 313.09

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Solution

The fourth proportional to 496.29, 743.19 and 313.09 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.29 : 743.19 = 313.09 : x
  2. Step 2: Convert to fraction form
    496.29/743.19 = 313.09/x
  3. Step 3: Cross multiply
    496.29x = 743.19 × 313.09
  4. Step 4: Simplify right side
    496.29x = 232,685.36
  5. Step 5: Solve for x
    x = 232,685.36/496.29
  6. Step 6: Final answer
    x = 468.85

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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.