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Finding the Fourth Proportional to 499.55, 748.63 and 255.56

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Solution

The fourth proportional to 499.55, 748.63 and 255.56 is: 382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.55 : 748.63 = 255.56 : x
  2. Step 2: Convert to fraction form
    499.55/748.63 = 255.56/x
  3. Step 3: Cross multiply
    499.55x = 748.63 × 255.56
  4. Step 4: Simplify right side
    499.55x = 191,314.86
  5. Step 5: Solve for x
    x = 191,314.86/499.55
  6. Step 6: Final answer
    x = 382.98

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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.