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Finding the Fourth Proportional to 499.16, 749.27 and 441.74

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Solution

The fourth proportional to 499.16, 749.27 and 441.74 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.16 : 749.27 = 441.74 : x
  2. Step 2: Convert to fraction form
    499.16/749.27 = 441.74/x
  3. Step 3: Cross multiply
    499.16x = 749.27 × 441.74
  4. Step 4: Simplify right side
    499.16x = 330,982.19
  5. Step 5: Solve for x
    x = 330,982.19/499.16
  6. Step 6: Final answer
    x = 663.09

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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.