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Finding the Fourth Proportional to 643.43, 887.94 and 381.57

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Solution

The fourth proportional to 643.43, 887.94 and 381.57 is: 526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.43 : 887.94 = 381.57 : x
  2. Step 2: Convert to fraction form
    643.43/887.94 = 381.57/x
  3. Step 3: Cross multiply
    643.43x = 887.94 × 381.57
  4. Step 4: Simplify right side
    643.43x = 338,811.27
  5. Step 5: Solve for x
    x = 338,811.27/643.43
  6. Step 6: Final answer
    x = 526.57

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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.