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Finding the Fourth Proportional to 641.54, 885.60 and 420.85

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Solution

The fourth proportional to 641.54, 885.60 and 420.85 is: 580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.54 : 885.60 = 420.85 : x
  2. Step 2: Convert to fraction form
    641.54/885.60 = 420.85/x
  3. Step 3: Cross multiply
    641.54x = 885.60 × 420.85
  4. Step 4: Simplify right side
    641.54x = 372,704.76
  5. Step 5: Solve for x
    x = 372,704.76/641.54
  6. Step 6: Final answer
    x = 580.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.