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Finding the Fourth Proportional to 661.10, 911.45 and 411.99

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Solution

The fourth proportional to 661.10, 911.45 and 411.99 is: 568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.10 : 911.45 = 411.99 : x
  2. Step 2: Convert to fraction form
    661.10/911.45 = 411.99/x
  3. Step 3: Cross multiply
    661.10x = 911.45 × 411.99
  4. Step 4: Simplify right side
    661.10x = 375,508.29
  5. Step 5: Solve for x
    x = 375,508.29/661.10
  6. Step 6: Final answer
    x = 568.01

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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.