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Finding the Fourth Proportional to 996.73, 1,495.09 and 256.34

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Solution

The fourth proportional to 996.73, 1,495.09 and 256.34 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.73 : 1,495.09 = 256.34 : x
  2. Step 2: Convert to fraction form
    996.73/1,495.09 = 256.34/x
  3. Step 3: Cross multiply
    996.73x = 1,495.09 × 256.34
  4. Step 4: Simplify right side
    996.73x = 383,251.37
  5. Step 5: Solve for x
    x = 383,251.37/996.73
  6. Step 6: Final answer
    x = 384.51

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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.