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Finding the Fourth Proportional to 660.70, 911.76 and 365.96

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Solution

The fourth proportional to 660.70, 911.76 and 365.96 is: 505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.70 : 911.76 = 365.96 : x
  2. Step 2: Convert to fraction form
    660.70/911.76 = 365.96/x
  3. Step 3: Cross multiply
    660.70x = 911.76 × 365.96
  4. Step 4: Simplify right side
    660.70x = 333,669.97
  5. Step 5: Solve for x
    x = 333,669.97/660.70
  6. Step 6: Final answer
    x = 505.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.