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Finding the Fourth Proportional to 499.77, 749.25 and 422.42

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Solution

The fourth proportional to 499.77, 749.25 and 422.42 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.77 : 749.25 = 422.42 : x
  2. Step 2: Convert to fraction form
    499.77/749.25 = 422.42/x
  3. Step 3: Cross multiply
    499.77x = 749.25 × 422.42
  4. Step 4: Simplify right side
    499.77x = 316,494.44
  5. Step 5: Solve for x
    x = 316,494.44/499.77
  6. Step 6: Final answer
    x = 633.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.