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Finding the Fourth Proportional to 496.76, 743.73 and 374.64

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Solution

The fourth proportional to 496.76, 743.73 and 374.64 is: 560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 743.73 = 374.64 : x
  2. Step 2: Convert to fraction form
    496.76/743.73 = 374.64/x
  3. Step 3: Cross multiply
    496.76x = 743.73 × 374.64
  4. Step 4: Simplify right side
    496.76x = 278,631.01
  5. Step 5: Solve for x
    x = 278,631.01/496.76
  6. Step 6: Final answer
    x = 560.90

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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.