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Finding the Fourth Proportional to 660.39, 911.29 and 365.65

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Solution

The fourth proportional to 660.39, 911.29 and 365.65 is: 504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.39 : 911.29 = 365.65 : x
  2. Step 2: Convert to fraction form
    660.39/911.29 = 365.65/x
  3. Step 3: Cross multiply
    660.39x = 911.29 × 365.65
  4. Step 4: Simplify right side
    660.39x = 333,213.19
  5. Step 5: Solve for x
    x = 333,213.19/660.39
  6. Step 6: Final answer
    x = 504.57

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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.