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Finding the Fourth Proportional to 665.97, 998.33 and 319.49

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Solution

The fourth proportional to 665.97, 998.33 and 319.49 is: 478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.97 : 998.33 = 319.49 : x
  2. Step 2: Convert to fraction form
    665.97/998.33 = 319.49/x
  3. Step 3: Cross multiply
    665.97x = 998.33 × 319.49
  4. Step 4: Simplify right side
    665.97x = 318,959.22
  5. Step 5: Solve for x
    x = 318,959.22/665.97
  6. Step 6: Final answer
    x = 478.94

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Similar ratio
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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.