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Finding the Fourth Proportional to 499.44, 749.12 and 255.84

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Solution

The fourth proportional to 499.44, 749.12 and 255.84 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 749.12 = 255.84 : x
  2. Step 2: Convert to fraction form
    499.44/749.12 = 255.84/x
  3. Step 3: Cross multiply
    499.44x = 749.12 × 255.84
  4. Step 4: Simplify right side
    499.44x = 191,654.86
  5. Step 5: Solve for x
    x = 191,654.86/499.44
  6. Step 6: Final answer
    x = 383.74

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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.