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Finding the Fourth Proportional to 660.49, 911.50 and 365.77

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Solution

The fourth proportional to 660.49, 911.50 and 365.77 is: 504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.49 : 911.50 = 365.77 : x
  2. Step 2: Convert to fraction form
    660.49/911.50 = 365.77/x
  3. Step 3: Cross multiply
    660.49x = 911.50 × 365.77
  4. Step 4: Simplify right side
    660.49x = 333,399.36
  5. Step 5: Solve for x
    x = 333,399.36/660.49
  6. Step 6: Final answer
    x = 504.78

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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.