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Finding the Fourth Proportional to 472.73, 643.61 and 471.26

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Solution

The fourth proportional to 472.73, 643.61 and 471.26 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.73 : 643.61 = 471.26 : x
  2. Step 2: Convert to fraction form
    472.73/643.61 = 471.26/x
  3. Step 3: Cross multiply
    472.73x = 643.61 × 471.26
  4. Step 4: Simplify right side
    472.73x = 303,310.44
  5. Step 5: Solve for x
    x = 303,310.44/472.73
  6. Step 6: Final answer
    x = 641.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.