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Finding the Fourth Proportional to 641.09, 885.06 and 420.37

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Solution

The fourth proportional to 641.09, 885.06 and 420.37 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.09 : 885.06 = 420.37 : x
  2. Step 2: Convert to fraction form
    641.09/885.06 = 420.37/x
  3. Step 3: Cross multiply
    641.09x = 885.06 × 420.37
  4. Step 4: Simplify right side
    641.09x = 372,048.25
  5. Step 5: Solve for x
    x = 372,048.25/641.09
  6. Step 6: Final answer
    x = 580.34

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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.