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Finding the Fourth Proportional to 499.97, 748.94 and 407.75

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Solution

The fourth proportional to 499.97, 748.94 and 407.75 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.97 : 748.94 = 407.75 : x
  2. Step 2: Convert to fraction form
    499.97/748.94 = 407.75/x
  3. Step 3: Cross multiply
    499.97x = 748.94 × 407.75
  4. Step 4: Simplify right side
    499.97x = 305,378.25
  5. Step 5: Solve for x
    x = 305,378.25/499.97
  6. Step 6: Final answer
    x = 610.79

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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.