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Finding the Fourth Proportional to 499.89, 749.14 and 255.90

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Solution

The fourth proportional to 499.89, 749.14 and 255.90 is: 383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.89 : 749.14 = 255.90 : x
  2. Step 2: Convert to fraction form
    499.89/749.14 = 255.90/x
  3. Step 3: Cross multiply
    499.89x = 749.14 × 255.90
  4. Step 4: Simplify right side
    499.89x = 191,704.29
  5. Step 5: Solve for x
    x = 191,704.29/499.89
  6. Step 6: Final answer
    x = 383.49

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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.