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Finding the Fourth Proportional to 499.74, 749.44 and 191.43

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Solution

The fourth proportional to 499.74, 749.44 and 191.43 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 749.44 = 191.43 : x
  2. Step 2: Convert to fraction form
    499.74/749.44 = 191.43/x
  3. Step 3: Cross multiply
    499.74x = 749.44 × 191.43
  4. Step 4: Simplify right side
    499.74x = 143,464.34
  5. Step 5: Solve for x
    x = 143,464.34/499.74
  6. Step 6: Final answer
    x = 287.08

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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.