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Finding the Fourth Proportional to 499.45, 748.64 and 255.64

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Solution

The fourth proportional to 499.45, 748.64 and 255.64 is: 383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.45 : 748.64 = 255.64 : x
  2. Step 2: Convert to fraction form
    499.45/748.64 = 255.64/x
  3. Step 3: Cross multiply
    499.45x = 748.64 × 255.64
  4. Step 4: Simplify right side
    499.45x = 191,381.05
  5. Step 5: Solve for x
    x = 191,381.05/499.45
  6. Step 6: Final answer
    x = 383.18

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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.