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Finding the Fourth Proportional to 641.47, 884.82 and 420.19

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Solution

The fourth proportional to 641.47, 884.82 and 420.19 is: 579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.47 : 884.82 = 420.19 : x
  2. Step 2: Convert to fraction form
    641.47/884.82 = 420.19/x
  3. Step 3: Cross multiply
    641.47x = 884.82 × 420.19
  4. Step 4: Simplify right side
    641.47x = 371,791.88
  5. Step 5: Solve for x
    x = 371,791.88/641.47
  6. Step 6: Final answer
    x = 579.59

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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.