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Finding the Fourth Proportional to 641.71, 884.77 and 541.94

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Solution

The fourth proportional to 641.71, 884.77 and 541.94 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.71 : 884.77 = 541.94 : x
  2. Step 2: Convert to fraction form
    641.71/884.77 = 541.94/x
  3. Step 3: Cross multiply
    641.71x = 884.77 × 541.94
  4. Step 4: Simplify right side
    641.71x = 479,498.43
  5. Step 5: Solve for x
    x = 479,498.43/641.71
  6. Step 6: Final answer
    x = 747.23

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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.