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Finding the Fourth Proportional to 660.29, 911.14 and 365.54

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Solution

The fourth proportional to 660.29, 911.14 and 365.54 is: 504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.29 : 911.14 = 365.54 : x
  2. Step 2: Convert to fraction form
    660.29/911.14 = 365.54/x
  3. Step 3: Cross multiply
    660.29x = 911.14 × 365.54
  4. Step 4: Simplify right side
    660.29x = 333,052.65
  5. Step 5: Solve for x
    x = 333,052.65/660.29
  6. Step 6: Final answer
    x = 504.41

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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.