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Finding the Fourth Proportional to 671.62, 927.03 and 410.11

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Solution

The fourth proportional to 671.62, 927.03 and 410.11 is: 566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.62 : 927.03 = 410.11 : x
  2. Step 2: Convert to fraction form
    671.62/927.03 = 410.11/x
  3. Step 3: Cross multiply
    671.62x = 927.03 × 410.11
  4. Step 4: Simplify right side
    671.62x = 380,184.27
  5. Step 5: Solve for x
    x = 380,184.27/671.62
  6. Step 6: Final answer
    x = 566.07

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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.