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Finding the Fourth Proportional to 660.78, 911.91 and 366.08

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Solution

The fourth proportional to 660.78, 911.91 and 366.08 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 911.91 = 366.08 : x
  2. Step 2: Convert to fraction form
    660.78/911.91 = 366.08/x
  3. Step 3: Cross multiply
    660.78x = 911.91 × 366.08
  4. Step 4: Simplify right side
    660.78x = 333,832.01
  5. Step 5: Solve for x
    x = 333,832.01/660.78
  6. Step 6: Final answer
    x = 505.21

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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.