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Finding the Fourth Proportional to 499.01, 748.49 and 191.01

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Solution

The fourth proportional to 499.01, 748.49 and 191.01 is: 286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.01 : 748.49 = 191.01 : x
  2. Step 2: Convert to fraction form
    499.01/748.49 = 191.01/x
  3. Step 3: Cross multiply
    499.01x = 748.49 × 191.01
  4. Step 4: Simplify right side
    499.01x = 142,969.07
  5. Step 5: Solve for x
    x = 142,969.07/499.01
  6. Step 6: Final answer
    x = 286.51

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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.