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Finding the Fourth Proportional to 641.33, 884.53 and 414.13

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Solution

The fourth proportional to 641.33, 884.53 and 414.13 is: 571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.33 : 884.53 = 414.13 : x
  2. Step 2: Convert to fraction form
    641.33/884.53 = 414.13/x
  3. Step 3: Cross multiply
    641.33x = 884.53 × 414.13
  4. Step 4: Simplify right side
    641.33x = 366,310.41
  5. Step 5: Solve for x
    x = 366,310.41/641.33
  6. Step 6: Final answer
    x = 571.17

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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.