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Finding the Fourth Proportional to 677.10, 1,016.17 and 266.34

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Solution

The fourth proportional to 677.10, 1,016.17 and 266.34 is: 399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 1,016.17 = 266.34 : x
  2. Step 2: Convert to fraction form
    677.10/1,016.17 = 266.34/x
  3. Step 3: Cross multiply
    677.10x = 1,016.17 × 266.34
  4. Step 4: Simplify right side
    677.10x = 270,646.72
  5. Step 5: Solve for x
    x = 270,646.72/677.10
  6. Step 6: Final answer
    x = 399.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.