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Finding the Fourth Proportional to 660.18, 911.49 and 411.60

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Solution

The fourth proportional to 660.18, 911.49 and 411.60 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 911.49 = 411.60 : x
  2. Step 2: Convert to fraction form
    660.18/911.49 = 411.60/x
  3. Step 3: Cross multiply
    660.18x = 911.49 × 411.60
  4. Step 4: Simplify right side
    660.18x = 375,169.28
  5. Step 5: Solve for x
    x = 375,169.28/660.18
  6. Step 6: Final answer
    x = 568.28

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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.