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Finding the Fourth Proportional to 660.42, 911.43 and 365.72

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Solution

The fourth proportional to 660.42, 911.43 and 365.72 is: 504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 911.43 = 365.72 : x
  2. Step 2: Convert to fraction form
    660.42/911.43 = 365.72/x
  3. Step 3: Cross multiply
    660.42x = 911.43 × 365.72
  4. Step 4: Simplify right side
    660.42x = 333,323.62
  5. Step 5: Solve for x
    x = 333,323.62/660.42
  6. Step 6: Final answer
    x = 504.71

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