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Finding the Fourth Proportional to 641.89, 885.75 and 420.49

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Solution

The fourth proportional to 641.89, 885.75 and 420.49 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.89 : 885.75 = 420.49 : x
  2. Step 2: Convert to fraction form
    641.89/885.75 = 420.49/x
  3. Step 3: Cross multiply
    641.89x = 885.75 × 420.49
  4. Step 4: Simplify right side
    641.89x = 372,449.02
  5. Step 5: Solve for x
    x = 372,449.02/641.89
  6. Step 6: Final answer
    x = 580.24

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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.