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Finding the Fourth Proportional to 660.06, 989.82 and 264.69

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Solution

The fourth proportional to 660.06, 989.82 and 264.69 is: 396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.06 : 989.82 = 264.69 : x
  2. Step 2: Convert to fraction form
    660.06/989.82 = 264.69/x
  3. Step 3: Cross multiply
    660.06x = 989.82 × 264.69
  4. Step 4: Simplify right side
    660.06x = 261,995.46
  5. Step 5: Solve for x
    x = 261,995.46/660.06
  6. Step 6: Final answer
    x = 396.93

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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.