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Finding the Fourth Proportional to 641.45, 885.67 and 420.80

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Solution

The fourth proportional to 641.45, 885.67 and 420.80 is: 581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.45 : 885.67 = 420.80 : x
  2. Step 2: Convert to fraction form
    641.45/885.67 = 420.80/x
  3. Step 3: Cross multiply
    641.45x = 885.67 × 420.80
  4. Step 4: Simplify right side
    641.45x = 372,684.46
  5. Step 5: Solve for x
    x = 372,684.46/641.45
  6. Step 6: Final answer
    x = 581.00

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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.