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Finding the Fourth Proportional to 499.34, 748.74 and 255.62

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Solution

The fourth proportional to 499.34, 748.74 and 255.62 is: 383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.34 : 748.74 = 255.62 : x
  2. Step 2: Convert to fraction form
    499.34/748.74 = 255.62/x
  3. Step 3: Cross multiply
    499.34x = 748.74 × 255.62
  4. Step 4: Simplify right side
    499.34x = 191,392.92
  5. Step 5: Solve for x
    x = 191,392.92/499.34
  6. Step 6: Final answer
    x = 383.29

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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.