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Finding the Fourth Proportional to 660.29, 911.20 and 365.57

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Solution

The fourth proportional to 660.29, 911.20 and 365.57 is: 504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.29 : 911.20 = 365.57 : x
  2. Step 2: Convert to fraction form
    660.29/911.20 = 365.57/x
  3. Step 3: Cross multiply
    660.29x = 911.20 × 365.57
  4. Step 4: Simplify right side
    660.29x = 333,106.02
  5. Step 5: Solve for x
    x = 333,106.02/660.29
  6. Step 6: Final answer
    x = 504.48

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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.