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Finding the Fourth Proportional to 499.27, 743.63 and 473.24

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Solution

The fourth proportional to 499.27, 743.63 and 473.24 is: 704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.27 : 743.63 = 473.24 : x
  2. Step 2: Convert to fraction form
    499.27/743.63 = 473.24/x
  3. Step 3: Cross multiply
    499.27x = 743.63 × 473.24
  4. Step 4: Simplify right side
    499.27x = 351,914.95
  5. Step 5: Solve for x
    x = 351,914.95/499.27
  6. Step 6: Final answer
    x = 704.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.