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Finding the Fourth Proportional to 628.11, 866.26 and 471.11

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Solution

The fourth proportional to 628.11, 866.26 and 471.11 is: 649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.11 : 866.26 = 471.11 : x
  2. Step 2: Convert to fraction form
    628.11/866.26 = 471.11/x
  3. Step 3: Cross multiply
    628.11x = 866.26 × 471.11
  4. Step 4: Simplify right side
    628.11x = 408,103.75
  5. Step 5: Solve for x
    x = 408,103.75/628.11
  6. Step 6: Final answer
    x = 649.73

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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.