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Finding the Fourth Proportional to 499.47, 749.38 and 191.41

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Solution

The fourth proportional to 499.47, 749.38 and 191.41 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 749.38 = 191.41 : x
  2. Step 2: Convert to fraction form
    499.47/749.38 = 191.41/x
  3. Step 3: Cross multiply
    499.47x = 749.38 × 191.41
  4. Step 4: Simplify right side
    499.47x = 143,440.51
  5. Step 5: Solve for x
    x = 143,440.51/499.47
  6. Step 6: Final answer
    x = 287.19

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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.