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Finding the Fourth Proportional to 665.54, 996.79 and 319.12

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Solution

The fourth proportional to 665.54, 996.79 and 319.12 is: 477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.54 : 996.79 = 319.12 : x
  2. Step 2: Convert to fraction form
    665.54/996.79 = 319.12/x
  3. Step 3: Cross multiply
    665.54x = 996.79 × 319.12
  4. Step 4: Simplify right side
    665.54x = 318,093.13
  5. Step 5: Solve for x
    x = 318,093.13/665.54
  6. Step 6: Final answer
    x = 477.95

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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.