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Finding the Fourth Proportional to 660.89, 911.45 and 411.95

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Solution

The fourth proportional to 660.89, 911.45 and 411.95 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.89 : 911.45 = 411.95 : x
  2. Step 2: Convert to fraction form
    660.89/911.45 = 411.95/x
  3. Step 3: Cross multiply
    660.89x = 911.45 × 411.95
  4. Step 4: Simplify right side
    660.89x = 375,468.30
  5. Step 5: Solve for x
    x = 375,468.30/660.89
  6. Step 6: Final answer
    x = 568.13

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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.