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Finding the Fourth Proportional to 499.25, 748.92 and 242.75

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Solution

The fourth proportional to 499.25, 748.92 and 242.75 is: 364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 748.92 = 242.75 : x
  2. Step 2: Convert to fraction form
    499.25/748.92 = 242.75/x
  3. Step 3: Cross multiply
    499.25x = 748.92 × 242.75
  4. Step 4: Simplify right side
    499.25x = 181,800.33
  5. Step 5: Solve for x
    x = 181,800.33/499.25
  6. Step 6: Final answer
    x = 364.15

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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.