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Finding the Fourth Proportional to 660.44, 989.33 and 330.38

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Solution

The fourth proportional to 660.44, 989.33 and 330.38 is: 494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.44 : 989.33 = 330.38 : x
  2. Step 2: Convert to fraction form
    660.44/989.33 = 330.38/x
  3. Step 3: Cross multiply
    660.44x = 989.33 × 330.38
  4. Step 4: Simplify right side
    660.44x = 326,848.25
  5. Step 5: Solve for x
    x = 326,848.25/660.44
  6. Step 6: Final answer
    x = 494.90

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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.