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Finding the Fourth Proportional to 645.75, 891.41 and 459.27

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Solution

The fourth proportional to 645.75, 891.41 and 459.27 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.75 : 891.41 = 459.27 : x
  2. Step 2: Convert to fraction form
    645.75/891.41 = 459.27/x
  3. Step 3: Cross multiply
    645.75x = 891.41 × 459.27
  4. Step 4: Simplify right side
    645.75x = 409,395.57
  5. Step 5: Solve for x
    x = 409,395.57/645.75
  6. Step 6: Final answer
    x = 633.98

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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.