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Finding the Fourth Proportional to 499.79, 748.62 and 256.49

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Solution

The fourth proportional to 499.79, 748.62 and 256.49 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.79 : 748.62 = 256.49 : x
  2. Step 2: Convert to fraction form
    499.79/748.62 = 256.49/x
  3. Step 3: Cross multiply
    499.79x = 748.62 × 256.49
  4. Step 4: Simplify right side
    499.79x = 192,013.54
  5. Step 5: Solve for x
    x = 192,013.54/499.79
  6. Step 6: Final answer
    x = 384.19

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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.